Wolfram Resource System

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Search the Wolfram Resource System

Paclet Resource: Wolfram/StylesheetTools

Utilities for creating and editing stylesheet notebooks

Paclet Resource: Wolfram/QuantumFramework

Perform analytic and numeric quantum computations

Paclet Resource: Wolfram/PacletCICD

Continuous integration and deployment for Wolfram Language paclets

Paclet Resource: Wolfram/Lazy

Lazy computation

Paclet Resource: WolframChemistry/MoleculeFingerprints

Compute and compare molecule fingerprints

Paclet Resource: WolframChemistry/ChemistryFunctions

Wolfram Language functions for Chemistry

Paclet Resource: TheRealCStover/Trigonometry

A collection of lesser-known circular and hyperbolic trig functions and their inverses

Paclet Resource: StianRamsnes/MaXrd

Symmetry data and utilities related to crystallography and X-ray scattering

Paclet Resource: PeterBurbery/RecreationalMathematics

This paclet is for recreational mathematics and math puzzles

Paclet Resource: Obando/CAGenetics

A set of functions to manipulate the unified model of Cellular Automata

Paclet Resource: KlausSutner/Automata

Automata theory package

Paclet Resource: JaneShenGunther/TCGADataTool

TCGA Data Tool retrieves TCGA cancer datasets easily from the NCI GDC and TCIA portals

Paclet Resource: Bob/ContentBrowser

Create notebook-based browsers for content

Paclet Resource: AntonAntonov/TriesWithFrequencies

Functions for creation and manipulation of tries (prefix trees) with frequencies

Paclet Resource: AntonAntonov/MonadicQuantileRegression

Software monad for Quantile Regression workflows

Paclet Resource: AntonAntonov/MonadicLatentSemanticAnalysis

Software monad for Latent semantic analysis

Paclet Resource: AntonAntonov/JavaTriesWithFrequencies

WL interface to Tries with frequencies implemented in Java

Paclet Resource: AntonAntonov/CryptocurrencyData

Cryptocurrency data retrieval

Function Resource: PermutationGraph

Compute the permutation graph of a permutation

Function Resource: PermutationCyclesGraph

A graph representing cycles and fixed points of a permutation

Function Resource: GracefulGraphFromPermutation

Show the graceful graph corresponding to a given permutation

Function Resource: PermutationMajorIndex

Compute the major index of a permutation

Function Resource: PermutationCountByCycleLength

Calculate the number of permutations of the specified cycle length counts

Function Resource: PermutationCountByInversions

Get the number of permutations having a specified length and number of inversions

Function Resource: AutomorphismGraph

Find an undirected graph whose automorphism group is isomorphic to the given group

Function Resource: ComplementPermutation

Get the complement of a permutation

Function Resource: StringPermutations

Get character permutations for a string

Function Resource: JacobiShufflePermutations

Generate a set of permutations for Jacobi identities of arbitrary order

Function Resource: SelectPermutations

Get permutations that satisfy a certain criterion

Function Resource: EvenPermutations

Get even permutations of a list

Function Resource: PermutationToTableaux

Get the two Young tableaux corresponding to a permutation

Function Resource: PermutationIndex

Give the lexicographic index of a permutation

Function Resource: SignedPermutations

Get all signed permutations of a list

Function Resource: TableauxToPermutation

Get a permutation corresponding to two Young tableaux

Function Resource: CycleLengthCountList

List the possible cycle length counts of permutations of a given length

Function Resource: PermutationAscents

Give the indices of a permutation where there is an immediate ascent

Function Resource: JosephusPermutation

Find the solution of the Josephus problem

Function Resource: NextPermutation

Get the next permutation in lexicographic order

Function Resource: CycleLengthCounts

Count the number of cycles for all possible cycle lengths in a permutation

Function Resource: AlternatingPermutationQ

Determine whether a permutation is an alternating permutation

Function Resource: AssociationPermutations

Get permutations of the key-value pairs in an Association

Function Resource: BaxterPermutationQ

Determine whether a permutation is a Baxter permutation

Function Resource: InversionCount

Count the number of pairs of out-of-order elements in a permutation

Example Resource: Graph-state Quantum Circuit

Construct and work with a graph-state circuit based on a graph

Function Resource: SwapOrderedPermutations

Construct a list of permutations so that successive permutations differ by exactly one transposition

Function Resource: PermutationSkewSum

Compute the skew sum of permutation lists

Function Resource: PermutationDirectSum

Compute the direct sum of permutation lists

Function Resource: FindAllPermutations

Find all permutations of lists with non-unique elements

Function Resource: MaximizeOverPermutations

Find the permutation that maximizes a function

Function Resource: PermutationInvolutionQ

Test whether a permutation equals its inverse

Function Resource: PermutationFromIndex

Give the permutation corresponding to a given length and lexicographic index

Function Resource: ReverseAlternatingPermutationQ

Determine whether a permutation is a reverse alternating permutation

Function Resource: MinSumPermutation

Find a permutation that minimizes a matrix sum

Example Resource: Analyze Components and Connectivity of Molecule Graphs

Create the graph underpinning a molecule and visualize cycles, partitions and communities in the graph

Paclet Resource: PeterBurbery/UndirectedGraphs

Functions for undirected graphs

Paclet Resource: AntonAntonov/CallGraph

Call graph generation

Paclet Resource: PeterBurbery/MixedGraphs

A collection of mixed graph functionality

Function Resource: UndirectedGraphToMixedGraph

Change an undirected graph into a mixed graph

Function Resource: LehmerCodeFromPermutation

Create the Lehmer code corresponding to a given permutation

Example Resource: Quantum Circuit Diagrams and Graphs

Visualize quantum circuits with custom labels and layout

Function Resource: LollipopGraph

Return a lollipop graph composed of a clique and a path graph

Function Resource: IntervalGraph

Construct the intersection graph of intervals

Function Resource: GraphMinors

Enumerate the graph minors of a graph

Function Resource: Involutions

List permutations comprised only of cycles of size two or less

Function Resource: GraphCount

Find the number of fundamentally different graphs of a specified size

Function Resource: BarbellGraph

Generate a barbell graph

Function Resource: SudokuGraph

Generate an n-Sudoku graph

Function Resource: MoralizeGraph

Find the moralized undirected form of a directed acyclic graph

Function Resource: GraphPolynomial

Get the polynomial with coefficients giving the number of nonisomorphic graphs for a given number of vertices

Function Resource: QueensGraph

Generate the queen's graph

Function Resource: GraphMerge

Merge two graphs, linking them at a desired set of vertices

Function Resource: GraphAntipodes

Find a pair of vertices that are a maximum distance apart on a graph

Function Resource: FromInversionVector

Construct the permutation list corresponding to the given inversion vector

Function Resource: GraphFoliations

Enumerate possible foliations of a directed acyclic graph

Function Resource: LCFGraph

Return the graph specified in Lederberg–Coxeter–Fruchte notation

Function Resource: FoldGraph

Construct a graph by folding a list of arguments

Function Resource: BidirectedGraph

Modify Graph to include extraverted double edges

Function Resource: WordGraph

Create a word graph

Function Resource: GoldbergGraph

Create a graph corresponding to a Goldberg polyhedron

Function Resource: CondenseGraph

Condense a graph by contracting strongly connected components

Function Resource: BranchialGraphs

Depict branch-like connections between components of a directed acyclic graph

Function Resource: FactorGraph

Get a graph representation for the factorization of an integer

Function Resource: SequenceGraph

Create a graph from a data sequence

Function Resource: GraphWeights

Return the weights of a graph

Function Resource: GraphIsolates

List the isolates in a graph

Function Resource: KeywordsGraph

A weighted graph visualizing the flow and clustering of ideas in the text

Function Resource: EulerizeGraph

Add edges to a graph to make it Eulerian

Function Resource: RecipeGraph

Create a graph of the ingredients and instructions for a recipe

Function Resource: TaxonomyGraph

Visualize the taxonomy graph of a given species

Function Resource: RandomMixedGraph

Change an undirected graph into a mixed graph

Function Resource: PeriodicGraphQ

Test if a graph is periodic

Function Resource: HypergraphToGraph

Convert a hypergraph to a graph with the same distance matrix

Function Resource: SynonymGraph

Create a graph of a word's synonyms

Function Resource: TraceGraph

Generate a graph of all expressions in an evaluation chain

Paclet Resource: PeterBurbery/Combinatorics

Combinatorics functions for subsets, tuples, and permutations

Function Resource: OrientedGraphQ

Test if a graph is oriented

Paclet Resource: PeterBurbery/CombinatoricsPaclet

Combinatorics functions for subsets, tuples, and permutations

Function Resource: RegularGraphQ

Return True if a graph is regular

Function Resource: TournamentGraphQ

Return True if a graph is a tournament

Function Resource: ReflexiveGraphQ

Test whether a graph is reflexive

Function Resource: TransitiveGraphQ

Test whether the binary relation defined by edges of a graph is transitive

Function Resource: ChordalGraphQ

Test whether a graph is chordal

Function Resource: GraphMouseMagnify

Dynamically magnify graphs with your mouse

Function Resource: PolyhedralGraphFaces

Get the faces corresponding to a polyhedral graph

Function Resource: PerfectGraphQ

Test whether a graph is perfect

Function Resource: HexagonalTorusGraph

Get a skew graph on a torus with a given number of hexagonal cells

Function Resource: FindGroupIsomorphism

Find up to a specified number of isomorphisms between two permutation groups

Function Resource: KleinBottleGraph

Create a grid graph in the shape of a Klein bottle

Function Resource: SymbolDependencyGraph

Create a graph of symbol dependencies

Function Resource: GeneralizedGridGraph

Generates a generalized version of GridGraph

Function Resource: LayeredLayoutGraph

Render a graph with vertices arranged in the specified layers

Function Resource: ValidGraphColoring

Check if the given graph coloring is valid

Function Resource: CayleyNestGraph

Create a generalized Cayley graph from generators and relations

Function Resource: DragGraphVertices

Dynamically drag around the vertices of a graph

Function Resource: AlternatingTreeGraph

Construct an alternating tree graph

Function Resource: RandomWeightedGraph

Create a random weighted graph

Function Resource: BioSequenceGraph

Build a graph from a biomolecular sequence

Function Resource: GraphFunctionPlot

Plot the values of a function at the vertices of a graph

Function Resource: GraphCoordinationSequence

Find the number of vertices at each distance in a symmetric graph

Function Resource: PartialOrderGraphQ

Test whether a graph is a partial order, that is, reflexive, antisymmetric and transitive

Function Resource: FixedPointGraph

Obtain the graph of an iterative computation to a fixed point

Function Resource: TokenEventGraph

Generate a token-event graph for multicomputational evolution according to particular rules

Function Resource: WeightedSimpleGraph

SimpleGraph with edge and vertex weights

Function Resource: CausalConnectionGraph

Generate a graph giving the relations between regions of causally equivalent events in a causal graph

Function Resource: WeightedDistanceGraph

Given vertices, get a complete graph with edge weights equal to edge lengths

Function Resource: TraceCausalGraph

Build a causal graph from an expression evaluation trace

Function Resource: NestGraphTagged

Create a graph by successively applying a function and differently tagging edges corresponding to different outputs

Function Resource: ColorGraphVertices

Color the vertices in a graph with no adjacent vertices sharing a color

Function Resource: ColorGraphEdges

Color the edges of a graph so no edges incident to each other have the same color

Function Resource: CharacterInteractionGraph

Create a graph representing the interactions among characters in a story

Function Resource: MultiwayDeletionsGraph

Explore graph traversals while deleting visited components

Function Resource: WeakPathGraphs

Create path graphs between two vertices in a graph where the paths are constructed without consideration of the direction of the edges

Function Resource: ParametricManifoldToGraph

Generate the graph associated with a parametric description of a manifold

Function Resource: VertexSizeScaledGraph

Visualize a graph with scaled vertex size based on custom graph-related measures

Function Resource: SimplicalGraphQ

Test whether a graph is simplical

Function Resource: PolyhedralGraphQ

Determine if a graph is polyhedral

Function Resource: TriangularGridGraph

Create a triangular grid graph

Function Resource: GraphNeighborhoodVolumes

Find the volumes of successively larger neighborhoods around nodes in a graph

Function Resource: DistanceLayeredGraph

Render a graph with vertices at heights based on their distance from the root

Function Resource: NetChainToGraph

Convert a NetChain to a NetGraph

Function Resource: GraphPathMatrix

Find the path matrix of a graph

Function Resource: RuleNetGraph

Create a NetGraph with a simplified rule-based interface

Data Resource: Expanded Abortion Graph

WWW Graph of Abortion for Link Analysis Ranking Experiments

Data Resource: Expanded Movies Graph

WWW Graph of Movies for Link Analysis Ranking Experiments

Data Resource: Expanded Genetic Graph

WWW Graph of Genetic for Link Analysis Ranking Experiments

Data Resource: Refined Abortion Graph

WWW Graph of Abortion for Link Analysis Ranking Experiments

Data Resource: Regular Abortion Graph

WWW Graph of Abortion for Link Analysis Ranking Experiments

Data Resource: Refined Movies Graph

WWW Graph of Movies for Link Analysis Ranking Experiments

Data Resource: Regular Movies Graph

WWW Graph of Movies for Link Analysis Ranking Experiments

Data Resource: Refined Genetic Graph

WWW Graph of Genetic for Link Analysis Ranking Experiments

Data Resource: Regular Genetic Graph

WWW Graph of Genetic for Link Analysis Ranking Experiments

Function Resource: HexagonalGridGraph

Generate a graph corresponding to a hexagonal grid

Function Resource: GraphElementData

Get information about named functions used in VertexShapeFunction and EdgeShapeFunction

Function Resource: CombinatorExpressionGraph

Show an expression graph for a combinator expression

Function Resource: NestWhileGraph

Iteratively construct graphs up to a termination condition

Function Resource: GraphRemoveLooseEnds

Remove low-valence vertices in a graph

Function Resource: VennGraphPlot

Visualize the intersections of overlapping sets

Function Resource: SemiEulerianGraphQ

Test if a connected undirected graph is semi-Eulerian

Function Resource: GeodesicSphereGraph

Create a graph of an order-n geodesic sphere

Function Resource: MixedEulerianGraphQ

Test if a strongly connected mixed graph is Eulerian or unicursal

Function Resource: MouseoverHighlightGraph

Display a graph so that connected edges are highlighted when you mouse over a vertex

Function Resource: MolecularGraphAutocorrelation

Compute molecular graph autocorrelation vectors, convolved over atomic properties

Function Resource: EquivalentOrderings

Generalize Ordering by giving alternative orderings if there are equal items

Data Resource: Expanded Computational Complexity Graph

WWW Graph of Computational Complexity for Link Analysis Ranking Experiments

Data Resource: Expanded Computational Geometry Graph

WWW Graph of Computational Geometry for Link Analysis Ranking Experiments

Data Resource: Expanded Net Censorship Graph

WWW Graph of Net Censorship for Link Analysis Ranking Experiments

Data Resource: Expanded Gun Control Graph

WWW Graph of Gun Control for Link Analysis Ranking Experiments

Data Resource: Expanded Death Penalty Graph

WWW Graph of Death Penalty for Link Analysis Ranking Experiments

Data Resource: Regular Net Censorship Graph

WWW Graph of Net Censorship for Link Analysis Ranking Experiments

Data Resource: Regular Death Penalty Graph

WWW Graph of Death Penalty for Link Analysis Ranking Experiments

Data Resource: Regular Computational Complexity Graph

WWW Graph of Computational Complexity for Link Analysis Ranking Experiments

Data Resource: Refined Computational Complexity Graph

WWW Graph of Computational Complexity for Link Analysis Ranking Experiments

Data Resource: Regular Computational Geometry Graph

WWW Graph of Computational Geometry for Link Analysis Ranking Experiments

Data Resource: Refined Net Censorship Graph

WWW Graph of Net Censorship for Link Analysis Ranking Experiments

Data Resource: Refined Death Penalty Graph

WWW Graph of Death Penalty for Link Analysis Ranking Experiments

Data Resource: Regular Gun Control Graph

WWW Graph of Gun Control for Link Analysis Ranking Experiments

Data Resource: Refined Computational Geometry Graph

WWW Graph of Computational Geometry for Link Analysis Ranking Experiments

Data Resource: Refined Gun Control Graph

WWW Graph of Gun Control for Link Analysis Ranking Experiments

Function Resource: OrderedGraphModelPlot

Plots ordered trivalent graphs

Function Resource: ToDirectedAcyclicGraph

Convert any undirected graph to a cycle-free directed graph

Function Resource: CATransducerGraph

Obtain an annotated state transition graph for any CellularAutomaton rule

Function Resource: DorogovtsevGoltsevMendesGraph

Generate a Dorogovtsev–Goltsev–Mendes graph

Function Resource: CrossNodeGridGraph

Create cross-linked grid graphs

Function Resource: GeoCommunityGraphPlot

Create a graph on a map with communities highlighted with different colors

Function Resource: GeneralizedTriangularGridGraph

Create a triangular grid graph with customizable width and height, represented as a parallelogram composed of triangular grids

Function Resource: FlatManifoldToGraph

Produce random spatial graphs by sprinkling points into a flat (Euclidean) Riemannian manifold

Function Resource: GraphicsMetricGraph

Create a mesh representing a metric from a graphic

Function Resource: DirectedGraphTransferMatrix

Obtain partial probabilities of random walks on a directed graph

Function Resource: GraphReconstructedSurface

Embed a hypergraph into a surface

Function Resource: TuringMachineCausalGraph

Generate a causal graph of the Turing machine evolution

Function Resource: RecursiveFunctionCallGraph

Obtain a graph whose vertices and edges trace the evaluation of a recursive function

Function Resource: GraphPaperGridLines

Generate grid lines in graphics in the style of traditional graph paper

Function Resource: NearestNeighborGraphEntropy

Compute the Shannon entropy of a set of points connected by a nearest neighbor graph

Function Resource: FastFourierGraph

Create a fast Fourier transform calculation in graphical form

Function Resource: CombinatorEvolutionGraph

Visualize the state transformations and causal structure of a combinator evolution

Paclet Resource: WolframRD/Networks

An extension for Wolfram graphs and networks

Function Resource: FindFanoPlaneIsomorphism

Enumerate all isomorphisms given a configuration of a Steiner triple system (2, 3, 7) on the Fano plane

Function Resource: RegularHyperbolicTilingGraph

Create a graph of a regular hyperbolic tiling

Function Resource: SubsetGroup

Compute a group induced by a permutation group on k-subsets

Function Resource: VertexCoordinateList

Return the vertex coordinates of a graph

Function Resource: ListGlocalBranchialGraph

Generate a graph of branch pair ancestry for a list substitution "glocal" (hybrid of global and local) multiway system

Function Resource: StringGlocalBranchialGraph

Generate a graph of branch pair ancestry for a string substitution "glocal" (hybrid of global and local) multiway system

Function Resource: CombinatorGlocalBranchialGraph

Generate a graph of branch pair ancestry for a combinator evaluation "glocal" (hybrid of global and local) multiway system

Data Resource: GraphTheme

The collection of built-in graph themes in the Wolfram Language

Function Resource: SubstitutionSystemCausalGraph

Generate a causal graph from a substitution system using standard updating order

Function Resource: RandomDerangement

Find a random derangement of the numbers 1 through n

Data Resource: Rat Brain Graph 1

Rattus norvegicus brain network graph

Function Resource: ExtrinsicCurvedManifoldToGraph

Produce random spatial graphs by sprinkling points into a Riemannian manifold with an arbitrary extrinsic curvature

Function Resource: IntrinsicCurvedManifoldToGraph

Produce random spatial graphs by sprinkling points into a Riemannian manifold with a specified intrinsic algebraic curvature function

Function Resource: SimpleCausalGraphCoordinates

Generate Cartesian-like coordinates for a simple two-dimensional causal graph

Function Resource: ShuffleOrder

Determine how many shuffles restore the list of specified size to its original order

Function Resource: CanonicalListRotation

Return a canonical rotation for a list of values

Function Resource: NonIsomorphicComponents

Return the non-isomorphic components of a graph

Function Resource: EulerianNumber

Get the number of permutations with a given number of ascents

Function Resource: CycleAdd

Add a cycle graph to an existing graph

Function Resource: LayeredGraphPlot3D

Generate a layered 3D plot of a graph

Function Resource: WolframModelGlocalBranchialGraph

Generate a graph of branch pair ancestry for a Wolfram model "glocal" (hybrid of global and local) multiway system

Function Resource: DerangementQ

Test whether a permutation is a derangement

Function Resource: TuringMachineGlocalBranchialGraph

Generate a graph of branch pair ancestry for a nondeterministic Turing machine "glocal" (hybrid of global and local) multiway system

Function Resource: NetworkXObject

Use graph algorithms from the Python package NetworkX without any Python programming

Example Resource: Generate the Isomers of Decane

Add carbon atoms to methane one by one to exhaustively list all alkanes with up to 10 carbon atoms

Data Resource: GraphHighlightStyle

The collection of built-in graph highlight styles in the Wolfram Language

Function Resource: NetContract

Contract a subset of vertices in a NetGraph or NetChain into a single vertex

Function Resource: CausalGraphEntanglementEntropyGeneralized

Compute the entanglement entropy of a certain subgraph of a causal graph (or subset of a causal set) using the generalized/robust approach

Function Resource: SchettPolynomial

Compute the Schett polynomial

Function Resource: SpanningTreeCount

Count the number of labeled spanning trees in a graph

Function Resource: IsomorphicHypergraphQ

Determine whether two orderless (undirected) hypergraphs are isomorphic

Function Resource: FindHypergraphIsomorphism

Find all isomorphisms between two orderless (undirected) hypergraphs

Function Resource: FindOrderedHypergraphIsomorphism

Find isomorphisms between two ordered (directed) hypergraphs

Function Resource: IsomorphicOrderedHypergraphQ

Determine whether two ordered (directed) hypergraphs are isomorphic

Function Resource: FindProperColorings

Find all proper k-colorings of a specified graph

Function Resource: CausalGraphEntanglementEntropyNaive

Compute the entanglement entropy of a certain subgraph of a causal graph (or subset of a causal set) using the naive/fragile approach

Function Resource: MultispacePlot3D

Plot multispace in 3D

Function Resource: TransposeTableau

Transpose a Young tableau

Data Resource: Nematode Pharynx Graph

Connectome of anterior section of hermaphrodite Caenorhabditis elegans pharynx

Data Resource: Internet Structure Graph

A symmetrized snapshot of the structure of the Internet

Data Resource: Enron Email Network

Graph of the Enron email communication network within a dataset of around half a million emails

Function Resource: ToInversionVector

Get the inversion vector of a permutation written as a list

Data Resource: Wikipedia Voting Data 2001-2008

Graph of Wikipedia voting data from the inception of Wikipedia till January 2008

Data Resource: Les Miserables Network

Network derived from character interactions in the novel "Les Miserables"

Function Resource: CommutationMatrix

Generate a commutation matrix

Function Resource: ConnectedHypergraphQ

Determine whether a hypergraph is connected

Function Resource: LowestCommonAncestors

Find the lowest common ancestors for pairs of vertices in a graph

Function Resource: TensorDiagram

Display symbolic tensor expressions as a diagram

Function Resource: HumanProteinInteractionNetwork

Generate a graph of a specific portion of the human protein-protein interaction network for a gene

Function Resource: DescendingSublists

Split a list at its left-to-right maxima

Function Resource: MergeTree

Merge subtrees of a tree into a graph

Function Resource: VertexDegreeRelativeFrequencies

Relative frequencies of VertexDegree in a graph

Data Resource: Human Protein Protein Interaction Network

The human protein protein interaction network from The Human Protein Atlas

Function Resource: ResistanceMatrix

Get the resistance matrix of a graph

Function Resource: InversionVectorQ

Check if a list is the inversion vector of a permutation written as a list

Data Resource: 5 Dimensional Keller Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 4 Dimensional Keller Graph

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: EdgeMultiplicity

Count the multiplicity of edges in a graph

Data Resource: Major League Baseball Teammate Graph 1900-2019

A graph of Major League Baseball players connected by common teams

Data Resource: Marvel Universe Social Network

A Marvel Comics character collaboration network

Function Resource: VertexStratify

Partition the vertices of a directed acyclic graph into time-ordered level sets

Function Resource: GenerateVerificationTests

Generate a VerificationTest file for all permutations of arguments

Data Resource: H(8,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(8,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(10,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(6,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(10,2) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: H(6,4) Hamming Graph

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: EnumerateHypergraphs

Enumerate possible ordered hypergraphs with a given signature

Example Resource: Build a Network of Ingredient Substitutions

Find substitutes for different ingredients and create a graph of weakly connected components

Function Resource: Excess01Ruler

Find a near-minimal set of integer marks so that all integers up to a given length are represented as differences

Function Resource: GallaiEdmondsDecomposition

The Gallai–Edmonds decomposition of a graph

Function Resource: WienerIndex

Compute the Wiener index of a graph

Function Resource: MultiPerspectiveEmbedding

Compute a 3D embedding for multiple graphs so that all pairwise distances are preserved simultaneously along various 2D projections

Function Resource: ArticulationVertices

Find articulation vertices of a graph

Function Resource: ReasonableRuler

Find a near-minimal set of marks for an integer length ruler so that all smaller integer distances are measurable

Function Resource: SubgraphExpand

Expand a subgraph inside the space of a graph

Function Resource: ChromaticNumber

Compute the vertex chromatic number of a graph

Example Resource: Find the Longest Path in a Molecule

Use the distance matrix and shortest path algorithm to find the longest through-bond communication path in a tRNA connector

Function Resource: KirchhoffTensor

Compute the Kirchhoff tensor (Laplacian) of an arbitrary hypergraph

Function Resource: KirchhoffHypergraph

Compute the hypergraph with a specified Kirchhoff tensor (Laplacian)

Function Resource: CanonicalHypergraph

Find a canonical version of a directed hypergraph

Data Resource: Theorem Network from Euclid's Elements

Graph of interdependence of theorems from Euclid's Elements

Function Resource: PartitionByCooccurence

Find the best-fitting partitions for a list of groups using co-occurrence counts

Function Resource: VertexCleaving

Clone a vertex of a graph

Function Resource: Girth

Return the girth of a graph

Data Resource: Rhesus Cerebral Cortex Graph 1

Connectome of rhesus macaque cerebral cortex

Function Resource: HosoyaZ

Compute the Hosoya Z index of a graph

Data Resource: Second DIMACS Brockington Graph 5

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Brockington Graph 4

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Brockington Graph 3

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Brockington Graph 9

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Data Resource: Second DIMACS Brockington Graph 8

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Data Resource: Second DIMACS Brockington Graph 2

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Data Resource: Second DIMACS Brockington Graph 1

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Data Resource: Second DIMACS Brockington Graph 7

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Data Resource: Second DIMACS Brockington Graph 6

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Data Resource: Second DIMACS Brockington Graph 11

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Data Resource: Second DIMACS Brockington Graph 12

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Data Resource: Second DIMACS Brockington Graph 10

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Data Resource: Second DIMACS Sanchis Graph 5

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 12

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Data Resource: Second DIMACS Sanchis Graph 3

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Data Resource: Second DIMACS Sanchis Graph 4

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 6

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 2

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 1

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Data Resource: Second DIMACS Sanchis Graph 8

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 9

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 7

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 10

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 13

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Data Resource: Second DIMACS Sanchis Graph 15

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 14

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS Sanchis Graph 11

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: VizingEdgeColoring

Give a simple undirected graph a proper edge coloring using at most one color more than necessary

Data Resource: J(32,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(16,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(8,4,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: J(8,2,4) Generalized Johnson Graph

The Second DIMACS Implementation Challenge: 1992-1993

Example Resource: Highlight Patterns in Molecules

Define and visualize patterns for atoms, bonds and arbitrary substructures in a molecule

Function Resource: SzegedIndex

Compute the Szeged index of an undirected graph or a molecule

Function Resource: XuIndex

Compute the Xu index of an undirected graph or a molecule

Function Resource: FindLongestPath

Find the longest path between two vertices in a directed acyclic graph

Function Resource: BranchialHypergraph

Compute the branchial hypergraph of a graph

Function Resource: SzegedMatrix

Compute the Szeged matrix of an undirected graph or a molecule

Data Resource: Second DIMACS P-Hat Graph 8

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 9

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 7

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Data Resource: Second DIMACS P-Hat Graph 3

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Data Resource: Second DIMACS P-Hat Graph 5

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Data Resource: Second DIMACS P-Hat Graph 4

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Data Resource: Second DIMACS P-Hat Graph 2

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Data Resource: Second DIMACS P-Hat Graph 1

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Data Resource: Second DIMACS P-Hat Graph 6

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 14

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 11

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 13

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 12

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 15

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Second DIMACS P-Hat Graph 10

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: FunnelChart

Create a chart showing diminishing quantities surviving stages of a process

Data Resource: 2-Fat Ring Graph with 200 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 1-Fat Ring Graph with 500 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 5-Fat Ring Graph with 200 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 2-Fat Ring Graph with 500 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 1-Fat Ring Graph with 200 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 5-Fat Ring Graph with 500 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: 10-Fat Ring Graph with 500 vertices

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: SimplexOrientation

Get the orientation of a simplex

Data Resource: Steiner Triple System A27 Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Steiner Triple System A9 Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Steiner Triple System A81 Graph

The Second DIMACS Implementation Challenge: 1992-1993

Data Resource: Steiner Triple System A45 Graph

The Second DIMACS Implementation Challenge: 1992-1993

Function Resource: DivisorHasseDiagram

Generate a transitive reduction graph for the divisors of a positive integer

Function Resource: MolecularComplexity

Compute the molecular complexity of a given molecule

Function Resource: BalabanJ

Compute the Balaban J index of an undirected graph or a molecule

Function Resource: KEGGPathway

Get the graph and additional information of a KEGG pathway

Function Resource: SchultzMTI

Compute the Schultz molecular topological index of an undirected graph or a molecule

Function Resource: AdjacencyHypergraph

Compute the hypergraph with a specified adjacency tensor

Function Resource: AdjacencyTensor

Compute the adjacency tensor of an arbitrary hypergraph

Function Resource: GloBIData

Get biotic interactions of a specified taxon using the Global Biotic Interactions (GloBI) API

Function Resource: InvolutionCount

Count the number of involutions

Paclet Resource: PeterBurbery/NewMazePaclet

A paclet for mazes

Function Resource: ClusteringCoefficientsByDegree

Collect the clustering coefficients of a graph by vertex degree

Paclet Resource: WolframInstitute/Hypergraph

Hypergraph tools

Function Resource: VisualizeDigitPath

Get a graph of the sequential digit path of a number

Function Resource: ExtractPlotImageData

Extract data from a plot image

Function Resource: EdgeChromaticNumber

Compute the smallest number of colors needed in a proper edge coloring of a graph

Function Resource: WolframPhysicsProjectStyleData

Look up styles used in the Wolfram Physics Project

Function Resource: HasseDiagram

Construct a Hasse diagram of a poset

Function Resource: VertexColoring

Assign colors to vertices of a graph so that no edge connects vertices of the same color

Function Resource: ChordDiagram

Make a weighted connectivity graph using circular embedding

Paclet Resource: WolframChemistry/IsomerGeneration

Generate Isomers from Chemical Formulas

Function Resource: FocalLossLayer

A NetGraph layer implementing focal loss

Function Resource: FoliationClass

Generate the foliation set from a causal graph

Function Resource: TaxonomyTree

Visualize a taxonomy tree of either a single TaxonomicSpecies entity or a list of multiple entities

Function Resource: EdgeColoring

Assign colors to edges of a graph so that no two adjacent edges have the same color

Function Resource: SameExpressionShapeQ

Check if expressions have the same shape

Function Resource: DataPipeline

Represent data processing operations as edges and vertices in a graph

Function Resource: WolframHausdorffDimension

Compute the Wolfram–Hausdorff dimension of a graph and its associated properties

Function Resource: DirectedAcyclicEvaluate

Evaluate functions locally over any directed acyclic graph

Function Resource: CosDiceLossLayer

A NetGraph layer implementing cos-dice loss

Function Resource: CombinatorToDAG

Convert a combinator expression to a directed acyclic graph (DAG)

Function Resource: FlatSpacetimeTriangulation

Produce causal graphs by dynamically triangulating a flat (Minkowski) spacetime

Function Resource: TreeGrid

Display a tree with a grid

Paclet Resource: FaizonZaman/MacroTools

Convenience and Experimental function implementations

Paclet Resource: WolframInstitute/NetworkSystem

Network Systems

Function Resource: WolframRicciCurvatureScalar

Compute the Wolfram–Ricci scalar curvature of a graph and its associated properties

Function Resource: ClusteringTreeClustersByHeight

Cut a ClusteringTree graph at a given height and return the resulting clusters

Function Resource: AlphaBetaSearch

Find solutions to perfectly played combinatorial games

Function Resource: SinusoidPlotQuiz

Generate a quiz to assess understanding of the graphs of sine and cosine functions

Function Resource: FlatSpacetimeSprinkling

Produce random causal graphs by sprinkling points into flat (Minkowski) spacetime

Data Resource: Irish-Viking Networks in 'Cogadh Gaedhel re Gallaibh'

Graph datasets for Irish and Viking character relationships in the medieval Irish text 'Cogadh Gaedhel re Gallaibh' ('The War of the Gaedhil with the Gaill')

Example Resource: CNOT Gate using Measurement-Based Quantum Computing

Implement a widely used 2 qubit gate with an alternative approach to quantum computation

Function Resource: WolframRicciCurvatureTensor

Compute projections of the Wolfram–Ricci curvature tensor of a graph and many associated properties

Function Resource: AlluvialChart

Chart changing weights over time

Function Resource: WolframModelLorentzFactor

Calculate the Lorentz factor of a Lorentz-transformed Wolfram Model causal graph

Function Resource: LorentzCoordinate2D

Generate the spatial and temporal coordinate information of a Lorentz-boosted causal graph

Function Resource: CurvedSpacetimeTriangulation

Produce causal graphs by dynamically triangulating a specified region of a (potentially curved) spacetime

Data Resource: Mexico City Subway Network

The Mexico City subway network

Function Resource: ListGlocalMultiwaySystem

Simulate the evolution of a list substitution system as a "glocal" (hybrid of global and local) multiway system

Function Resource: WolframModelGlocalMultiwaySystem

Simulate the evolution of a Wolfram model system as a "glocal" (hybrid of global and local) multiway system

Function Resource: StringGlocalMultiwaySystem

Simulate the evolution of a string substitution system as a "glocal" (hybrid of global and local) multiway system

Function Resource: EdgeBetweenQ

Quickly test for existence of an edge between two vertices

Function Resource: CurvedSpacetimeSprinkling

Produce random causal graphs by sprinkling points into a spacetime with a specified algebraic curvature function

Function Resource: NetworkBasedInferenceScore

Calculate the network-based inference (NBI) connection score between two vertices in a bipartite graph

Function Resource: AnnotatedVertexSelect

Select vertices based on annotations

Function Resource: MermaidInk

Get an image corresponding to a Mermaid-JS specification via the web Mermaid-Ink interface of Mermaid-JS

Function Resource: CurvedSpacetimeRegionSprinkling

Produce random causal graphs by sprinkling points into a specified region of a (potentially curved) spacetime

Function Resource: TrainingStateLayer

Create a NetGraph that returns the current NetEvalutionMode as 0 or 1

Paclet Resource: RohanMehta/OpenChemicalSystems

Model, stochastically simulate, and visualize arbitrary open chemical systems using a Petri Net framework

Function Resource: SimpleHypergraphPlot

Plot a hypergraph defined by a list of hyperedges and isolated vertices

Function Resource: DropShadow

Display graphics with a drop shadow

Function Resource: CaterpillarTreeQ

Test whether a Tree has a path that is within one edge of every vertex

Function Resource: TransversalHypergraph

Compute the transversal hypergraph of a hypergraph defined by a list of hyperedges and isolated vertices

Function Resource: CommonNeighbors

Return vertices that are adjacent to two vertices

Function Resource: TaxonomyCommonAncestor

Find a common ancestor across taxa

Function Resource: CompleteLevelsKaryTree

Compute the complete k-ary tree with different amounts of branches per level

Function Resource: TreeEditDistance

Calculate the edit distance between two Tree objects

Function Resource: AncestralNestTree

Grow Tree objects by iteratively adding children to leaves using information from their ancestors

Function Resource: PruneTree

Remove leaves from a Tree

Function Resource: ShortestTourArt3D

Display a 3D model using a continuous line

Function Resource: ScaledRankChart

Display a chart of scaled counts of elements in a list

Data Resource: Dutch Railway Network

The Dutch railway network data

Function Resource: FlameChart

Visualize data as a flame chart

Function Resource: CombinatorGlocalMultiwaySystem

Simulate the evaluation of a combinator expression as a "glocal" (hybrid of global and local) multiway system

Paclet Resource: AntonAntonov/MermaidJS

Graphics and images corresponding to mermaid-js specifications

Function Resource: TuringMachineGlocalMultiwaySystem

Simulate the evolution of a nondeterministic Turing machine as a "glocal" (hybrid of global and local) multiway system

Function Resource: PolarDendrogramPlot

Plot a polar dendrogram of a clustering

Function Resource: ApproximateVertexCover

Find a vertex cover not much larger than the minimal cover

Function Resource: ReactomePathways

Get pathways and additional information from the Reactome database

Function Resource: Shuffle

Rearrange elements of a list

Function Resource: BacktrackSearch

Solve computational problems using a generic backtracking algorithm

Function Resource: HypergraphPlot

Plot a hypergraph defined by a list of hyperedges

Function Resource: FindStableMatching

Find a stable matching between two sets of elements with expressed preferences for each other

Function Resource: TraceTree

Generate a tree of all expressions in an evaluation chain

Function Resource: MergeFindSet

Provide a merge-find set data structure with standard operations

Function Resource: SectorTreePlot

Plot tree data in stacked angular sectors

Function Resource: MultiwayGroup

Simulate an arbitrary (potentially abelian) group as a multiway system

Function Resource: MultiwayMonoid

Simulate an arbitrary (potentially commutative) monoid as a multiway system

Function Resource: NFAPlot

Plot a nondeterministic finite automaton

Neural Net Resource: ConceptNet Numberbatch Word Vectors V17.06 (Raw Model)

Represent words as vectors

Function Resource: WikiPathways

Get pathways and additional information from the WikiPathways database

Function Resource: PruferCodeToLabeledTree

Construct a labeled tree given its Prüfer code

Function Resource: LabeledTreeToPruferCode

Find the Prüfer code associated with a labeled tree

Function Resource: FindCanonicalHypergraphIsomorphism

Find a canonical isomorphism between hypergraphs

Function Resource: RandomHypergraph

Generate a random hypergraph

Function Resource: SuiteSparseMatrix

Import a sparse matrix from the SuiteSparse matrix collection

Function Resource: ListToCompleteBinaryTree

Convert a list into a complete binary tree

Function Resource: BettiNumbers

Compute the Betti numbers for a simplicial complex

Function Resource: EnumerateWolframModelRules

Enumerate canonical Wolfram model rules with a particular signature

Function Resource: RandomWolframModel

Generate a random canonical Wolfram model rule with a particular signature

Function Resource: RandomPolyhedralNet

Create an unfolding net for a given polyhedron

Function Resource: DepthFirstSearch

Search through a multiway space to find special termination points

Function Resource: TreeFoldInteractive

Interactively fold a tree

Function Resource: ArithmeticD

Compute the arithmetic derivative of a rational number

Function Resource: TreeCounts

Create a tree of the counts of the distinct data of each subtree

Function Resource: HuffmanTree

Find a Huffman tree encoding from an input string

Function Resource: FindExactCover

Find row subsets of an input binary matrix that sum to 1 in each column

Function Resource: DistinctCompactBinaryHuffmanCode

Generate a tree or an association with properties for non-equivalent compact binary Huffman codes

Function Resource: HofstadterMURiddle

Get steps of Hofstadter's MU riddle

Function Resource: RNAFoldingFreeEnergyChange

Calculate the free energy changes for folding one RNA strand using nearest neighbor parameters

Function Resource: PoincarePolynomial

Compute the Poincaré polynomial for a simplicial complex

Neural Net Resource: ConceptNet Numberbatch Word Vectors V17.06

Represent words as vectors

Function Resource: MultiwaySemigroup

Simulate an arbitrary (potentially commutative) semigroup as a multiway system

Function Resource: RingMoleculeQ

Determine if a molecule has rings

Function Resource: RandomSierpinskiMaze

Generate a maze based on the Sierpinski carpet

Paclet Resource: AntonAntonov/UMLDiagramGeneration

UML diagrams generation by introspection and direct specs

Function Resource: BarningHallTreePosition

Finds the position of a primitive Pythagorean triple in Barning-Hall tree

Function Resource: BarningHallTree

Generate primitive Pythagorean triples in a tree form using Fibonacci matrices

Function Resource: IndexedQueue

Provide an indexed priority queue data structure with its standard operations

Function Resource: RNAFoldingMaximumBasePairing

Fold a single RNA strand for maximum base pairing

Function Resource: HypergraphNeighborhoods

Enumerate all the neighborhoods of a hypergraph up to a given distance

Function Resource: MultiPerspectiveEmbeddingViewer

Visualize a MultiPerspectiveEmbedding

Function Resource: PolarTreemapPlot

Plot a polar tree map of a given nested list

Function Resource: SandpileTopple

Compute toppling trajectories of Abelian sandpiles on undirected finite multigraphs

Paclet Resource: Wolfram/Multicomputation

Various functions for multicomputation

Function Resource: NecklaceCount

Count the number of distinct necklaces made with beads of different colors

Function Resource: TilingPatternPlot

Visualize a set of tiles

Function Resource: HyperbolicTiling

Compute polygons for hyperbolic tilings

Function Resource: PriorityQueue

Provide a priority queue data structure with its standard operations

Function Resource: ParenthesesTrees

Obtain a list of syntax trees consistent with a valid pattern of parentheses

Function Resource: KruskalAlgorithm

Find the minimal spanning tree for a given set of points in Euclidean space

Function Resource: BuildBioSequenceBondListFromFoldingMatrix

Construct all potential bond lists from a folding matrix associated with a biomolecular sequence

Function Resource: NewickDendrogram

Render a Newick tree as a dendrogram

Function Resource: ConnectedWolframModelQ

Determine whether a Wolfram model rule is left-connected

Function Resource: HypergraphNeighborhoodVolumes

Find the volumes of successively larger neighborhoods around nodes in a hypergraph

Function Resource: WolframModelPlot

Generate a visual display of a hypergraph

Function Resource: NestTreeInteractive

Interactively construct a tree

Paclet Resource: WolframChemistry/ProteinVisualization

Functions for protein visualizations

Function Resource: WolframModel

Generate evolutions of Wolfram model systems

Function Resource: SubstitutionSystemCausalPlot

Generate a plot illustrating causal features of substitution system evolution

Function Resource: BouwkampDiagram

Convert Bouwkamp format into a diagram

Function Resource: HypergraphAdjacencyMatrix

Find the adjacency matrix for vertices in a hypergraph

Function Resource: FoodWeb

Visualize food chains of a given animal species

Function Resource: WolframModelEvolutionObject

Represent the result of evolution of a Wolfram model

Function Resource: CalkinWilfTree

Generate a complete binary tree of positive fractions

Function Resource: CalkinWilf

Get the position of a fraction or vice-versa within the Calkin–Wilf sequence

Function Resource: BernoulliBTree

Generate a binary tree representation of Bernoulli numbers by Woon's method

Function Resource: ColijnPlazzottaTree

Generate the rooted binary tree using Colijn–Plazzotta bijection

Function Resource: SternBrocotTree

Generate a complete binary search tree of positive fractions

Function Resource: PosetQ

Determine if a set of coordinates is partially ordered

Function Resource: ProperLeafCount

Count the terminal nodes of an expression tree

Function Resource: SentenceComplexityMeasures

Obtain a set of complexity measures for an English sentence

Function Resource: EquivalenceClasses

Compute the equivalence classes associated with a given set of elementwise identifications

Function Resource: PosetToTableau

Convert a partially ordered set of coordinates to a Young tableau

Function Resource: TableauToPoset

Convert a Young tableau to a partially ordered set of coordinates

Function Resource: SternBrocot

Get the position of a fraction or vice-versa in the Stern–Brocot sequence

Function Resource: RandomLoop3D

Generate a random loop in 3D space

Function Resource: NestedBranching

Generate a nested branching model

Paclet Resource: RobertNachbar/CompartmentalModeling

Build, visualize, analyze, and simulate compartmental models

Function Resource: WolframModelData

Retrieve information on a Wolfram model from the Registry of Notable Universes

Function Resource: GenerateWangTiling

Generate a tiling pattern from a set of Wang tiles

Function Resource: VoronoiCellTours

Compute shortest tours visiting all lattice points within each Voronoi cell in a region

Function Resource: GenerateTiling

Generate a tiling pattern from a set of local template constraints

Function Resource: MongeanShuffle

Perform a Mongean shuffle on a list

Function Resource: CodeStructure

Analyze C code in a variety of forms

Function Resource: FindNumberSequence

Generate an association of information containing a qualifying sequence, its start position and its digit path

Function Resource: ZXDiagramToQuantumDiscreteOperator

Convert a ZX-diagram into a discrete quantum operator

Function Resource: PhylogeneticTreePlot

Plot a dendrogram for a set of genome nucleotide sequences

Function Resource: ButcherTreeQ

Determine if a Butcher tree is in valid functional syntax

Function Resource: ButcherTrees

Get a list of the trees for any Runge-Kutta method of a given order

Function Resource: NFASimulation

Simulate the behavior of a nondeterministic finite automaton

Function Resource: PolyhedronChop

Remove duplicated graphical elements from a polyhedron

Function Resource: EnsemblGeneTree

Get an evolutionary tree of homologous genes

Function Resource: MultiwayFunctionSystem

Compute the evolution of a multiway system based on function evaluation over the integers

Function Resource: ZXDiagramToQuantumDiscreteState

Convert a ZX-diagram into a pure quantum discrete state

Function Resource: FindWolframModelProof

Try to find a proof of equivalence between hypergraphs in a given multiway Wolfram model system

Function Resource: FindListProof

Try to find a proof of equivalence between lists in a given multiway system

Function Resource: QuantumDiscreteOperatorToZXDiagram

Convert a discrete quantum operator into a ZX-diagram

Function Resource: QuantumDiscreteStateToZXDiagram

Convert a pure quantum discrete state into a ZX-diagram

Function Resource: FindMinimalTilings

Find minimal sets of templates for constructing tiling patterns

Paclet Resource: GSberveglieri/Phi4tools

A collection of tools for Feynman diagrams in scalar field theories

Function Resource: RandomBinaryTree

Generate a random binary tree

Function Resource: GenealogyTreePlot

Generate a genealogy family tree showing the relationship between you and another relative

Function Resource: SimplexMeasure

Get the measure of a simplex or simplicial complex

Function Resource: MultiwayPetriNet

Simulate the evolution of a Petri net configuration as a multiway system

Function Resource: PetriNetNondeterministicEvolution

Evolve a Petri net configuration nondeterministically by randomly selecting one possible transition firing at each step

Function Resource: MakePetriNet

Make an abstract representation of a Petri net configuration

Function Resource: AbstractQuiver

Make an abstract model of a quiver (i.e. a directed multigraph) that forms the basis of an abstract category

Function Resource: AbstractCategory

Make an abstract model of a category (i.e. a collection of objects and morphisms obeying associativity and identity axioms)

Function Resource: QuantumToMultiwaySystem

Simulate a quantum evolution as a multiway system

Function Resource: MultiwayTuringMachine

Simulate a nondeterministic Turing machine evolution as a multiway system

Function Resource: AbstractPullback

Represent the abstract pullback of a collection of morphisms with common codomain in an abstract category

Function Resource: AbstractStrictMonoidalCategory

Make an abstract model of a category equipped with a strictly associative and unital tensor product structure

Function Resource: AbstractFunctor

Make an abstract model of a functor (i.e. a homomorphism between abstract categories)

Function Resource: AbstractProduct

Represent the abstract product of an arbitrary collection of objects in an abstract category

Function Resource: AbstractCoproduct

Represent the abstract coproduct of an arbitrary collection of objects in an abstract category

Function Resource: AbstractPushout

Represent the abstract pushout of a collection of morphisms with common domain in an abstract category

Function Resource: MultiwayCombinator

Simulate the evaluation of a combinator expression as a multiway system

Function Resource: FindCombinatorProof

Attempt to find a proof of a theorem in combinatory logic using a given combinatory calculus

Data Resource: PGP Network

The network of users of the Pretty-Good-Privacy algorithm

Data Resource: Transcriptional Regulation Network of Escherichia coli

Dataset of the transcriptional regulation network of Escherichia coli

Function Resource: MultiwaySystem

Compute the evolution of a multiway system and many associated properties

Function Resource: BranchPairs

Compute branch pairs for a given multiway system

Function Resource: BranchPairResolutions

Compute branch pair resolutions for a given multiway system

Function Resource: MultiwayOperatorSystem

Simulate the evaluation of a formal operator expression as a multiway system

Function Resource: GenerationalMultiwaySystem

Compute the evolution of a generational multiway system and many associated properties

Function Resource: MultiwayEvolutionPlot

Plot the evolution of a multiway system

Function Resource: MakeZXDiagram

Make a diagrammatic representation of a linear map in the ZX-calculus

Function Resource: CanonicalBranchPairs

Compute canonical branch pairs for a given multiway system

Function Resource: PetriNetMultiwayEvolution

Evolve a Petri net configuration by applying all possible transition firings

Function Resource: QueryTreeForm

Present a query as a tree

Function Resource: CausalInvariantQ

Determine whether a given multiway system is causal invariant

Function Resource: HatTrialityTree

Generate trees describing the essential combinatorial structure of the aperiodic hat tiling

Function Resource: TotalCausalInvariantQ

Determine whether a given multiway system is causal invariant

Function Resource: MultiwayAggregationSystem

Simulate an aggregation system (a 2D array of cells in which new cells are added at positions with certain neighborhood configurations) as a multiway system

Function Resource: FindStringProof

Try to find a proof of equivalence between strings in a given multiway system

Function Resource: CanonicalKnuthBendixCompletion

Compute the canonical Knuth-Bendix completion for a given multiway system

Function Resource: KnuthBendixCompletion

Compute the Knuth-Bendix completion for a given multiway system

Paclet Resource: WolframExternalFunctions/NetworkXLink

Use the functionality of the Python package NetworkX,without any knowledge of Python

Example Resource: Knight's Tour on a Chessboard

Simulate a knight's tour in a recursive manner

Function Resource: ExportNewickString

Generate the Newick string representation of a tree

Data Resource: Protein Interaction network

Protein interaction network

Data Resource: World Cup 1988 Network

Network describing the 22 soccer teams which participated in the World Cup in Paris 1998

Data Resource: URV E-Mail Network

The email network between members of the Univeristy Rovira i Virgili

Data Resource: Tagged Test Images Network

Bipartite network of tags and images

Data Resource: Streptococcus Pyogenes Metabolic Network

Metabolic cellular network data

Data Resource: Campylobacter Jejuni Metabolic Network

Metabolic cellular network data

Data Resource: Archaeoglobus Fulgidus Metabolic Network

Metabolic cellular network data

Data Resource: Neisseria Meningitidis Whole Network

Whole cellular network data

Data Resource: Mycobacterium Leprae Metabolic Network

Metabolic cellular network data

Data Resource: Florentine Families Network

Florentine families network in the early 15th century

Data Resource: Deinococcus Radiodurans Metabolic Network

Metabolic cellular network data

Data Resource: Aeropyrum Pernix Whole Network

Whole cellular network data

Data Resource: Human Disease Network

A network of human diseases linked by known disorder-gene associations

Data Resource: High Energy Theory Collaborations Network

Weighted network of collaborations between scientists posting preprints

Data Resource: Haemophilus Influenzae Whole Network

Whole cellular network data

Data Resource: Condensed Matter Collaborations 1999 Network

Weighted network of collaborations between scientists posting preprints

Data Resource: American College Football Network

Network of American football games between Division IA colleges

Data Resource: Streptococcus Pneumoniae Metabolic Network

Metabolic cellular network data

Data Resource: Mycobacterium Bovis Metabolic Network

Metabolic cellular network data

Data Resource: Family Gathering Network

A social network of close family ties among people at a family gathering

Data Resource: Free Association Norms Network

Network showing the results from a free association norm experiment

Data Resource: Asking Opinion by Recognition Network

Network of members that ask for an opinion by recognition

Data Resource: Being Asked Opinion by Recognition Network

Network of members that ask for an opinion by recognition

Data Resource: Wikipedia Voting Network

Wikipedia who-votes-on-whom network

Data Resource: Escherichia Coli Whole Network

Whole cellular network data

Data Resource: Thermotoga Maritima Metabolic Network

Metabolic cellular network data

Data Resource: Jazz Musicians Network

Network of Jazz musicians.

Data Resource: Borrelia Burgdorferi Whole Network

Whole cellular network data

Data Resource: Mycoplasma Pneumoniae Whole Network

Whole cellular network data

Data Resource: Oryza Sativa Whole Network

Whole cellular network data

Data Resource: Paul Erdos Coauthors Network

Collaborations between Paul Erdos coauthors

Data Resource: Pyrococcus Furiosus Metabolic Network

Metabolic cellular network data

Data Resource: East Africa Embassy Attacks Network

Terrorist network linked to the 1998 bombings of the US embassies in Kenya and Tanzania

Data Resource: Zachary's Karate Club Network

Social network of friendships

Data Resource: Eurovision Votes Network

Network of votes in the Eurovision song contest

Data Resource: Discussion by Recognition Network

Network of members that are discussed with by recall

Data Resource: Condensed Matter Collaborations 2003 Network

Updated weighted network of collaborations between scientists posting preprints

Data Resource: Astrophysics Collaborations Network

Weighted network of co-authorships between scientists posting preprints

Data Resource: Being Asked Opinion by Recall Network

Network of members that ask for an opinion by recall

Data Resource: High Energy Physics Phenomenology Network

A collaboration and citation network on physics phenomenology

Data Resource: Swim Friendship Network

Social network of friendship in a swimming team

Data Resource: Discussion by Recall Network

Network of members that are discussed with by recall

Data Resource: Power Grid Network

An undirected, unweighted network representing topology

Data Resource: Dolphin Social Network

An undirected social network of frequent associations between dolphins

Data Resource: Condensed Matter Collaborations 2005 Network

Updated weighted network of collaborations between scientists posting preprints

Data Resource: Political Blogs Network

A directed network of hyperlinks

Data Resource: Online Social Network

Social network of an online community

Data Resource: September 11 Terrorists Network

Terrorist network linked to the tragic events of September 11, 2001

Data Resource: Disease Gene Network

A network of disease genes linked by known disorder-gene associations

Data Resource: MathGroup Emails Network

Network of emails sent to the MathGroup list in November 2011

Data Resource: High Energy Physics Theory Network

A collaboration and citation network on physics theory

Data Resource: Bipartite Diseasome Network

A bipartite network of diseasome linked by known disorder-gene associations

Data Resource: Caenorhabditis Elegans Whole Network

Whole cellular network data

Data Resource: Mycoplasma Genitalium Whole Network

Whole cellular network data

Data Resource: Streptococcus Pneumoniae Whole Network

Whole cellular network data

Data Resource: Salmonella Typhi Whole Network

Whole cellular network data

Data Resource: Mycoplasma Genitalium Metabolic Network

Metabolic cellular network data

Data Resource: Mycobacterium Leprae Whole Network

Whole cellular network data

Data Resource: Yersinia Pestis Whole Network

Whole cellular network data

Data Resource: Saccharomyces Cerevisiae Metabolic Network

Metabolic cellular network data

Data Resource: Pyrococcus Horikoshii Whole Network

Whole cellular network data

Data Resource: Chlamydia Pneumoniae Whole Network

Whole cellular network data

Data Resource: Actinobacillus Actinomycetemcomitans Whole Network

Whole cellular network data

Data Resource: Neisseria Gonorrhoeae Metabolic Network

Metabolic cellular network data

Data Resource: Clostridium Acetobutylicum Metabolic Network

Metabolic cellular network data

Data Resource: Caenorhabditis Elegans Metabolic Network

Metabolic cellular network data

Data Resource: Methanobacterium Thermoautotrophicum Whole Network

Whole cellular network data

Data Resource: Pseudomonas Aeruginosa Whole Network

Whole cellular network data

Data Resource: Pseudomonas Aeruginosa Metabolic Network

Metabolic cellular network data

Data Resource: Pyrococcus Horikoshii Metabolic Network

Metabolic cellular network data

Data Resource: Methanobacterium Thermoautotrophicum Metabolic Network

Metabolic cellular network data

Data Resource: Actinobacillus Actinomycetemcomitans Metabolic Network

Metabolic cellular network data

Data Resource: Saccharomyces Cerevisiae Whole Network

Whole cellular network data

Data Resource: Haemophilus Influenzae Metabolic Network

Metabolic cellular network data

Data Resource: Enterococcus Faecalis Whole Network

Whole cellular network data

Data Resource: Emericella Nidulans Whole Network

Whole cellular network data

Data Resource: Methanococcus Jannaschii Whole Network

Whole cellular network data

Data Resource: Chlamydia Trachomatis Whole Network

Whole cellular network data

Data Resource: Arabidopsis Thaliana Whole Network

Whole cellular network data

Data Resource: Rhodobacter Capsulatus Whole Network

Whole cellular network data

Data Resource: Chlorobium Tepidum Whole Network

Whole cellular network data

Data Resource: Chlamydia Trachomatis Metabolic Network

Metabolic cellular network data

Data Resource: Bacillus Subtilis Metabolic Network

Metabolic cellular network data

Data Resource: Synechocystis Sp Whole Network

Whole cellular network data

Data Resource: Mycobacterium Bovis Whole Network

Whole cellular network data

Data Resource: Treponema Pallidum Whole Network

Whole cellular network data

Data Resource: Chlorobium Tepidum Metabolic Network

Metabolic cellular network data

Data Resource: Rickettsia Prowazekii Metabolic Network

Metabolic cellular network data

Data Resource: Chlamydia Pneumoniae Metabolic Network

Metabolic cellular network data

Data Resource: Streptococcus Pyogenes Whole Network

Whole cellular network data

Data Resource: Porphyromonas Gingivalis Whole Network

Whole cellular network data

Data Resource: Neisseria Gonorrhoeae Whole Network

Whole cellular network data

Data Resource: Archaeoglobus Fulgidus Whole Network

Whole cellular network data

Data Resource: Yersinia Pestis Metabolic Network

Metabolic cellular network data

Data Resource: Oryza Sativa Metabolic Network

Metabolic cellular network data

Data Resource: Escherichia Coli Metabolic Network

Metabolic cellular network data

Data Resource: Rhodobacter Capsulatus Metabolic Network

Metabolic cellular network data

Data Resource: Helicobacter Pylori Whole Network

Whole cellular network data

Data Resource: Mycobacterium Tuberculosis Whole Network

Whole cellular network data

Data Resource: Mycobacterium Tuberculosis Metabolic Network

Metabolic cellular network data

Data Resource: Campylobacter Jejuni Whole Network

Whole cellular network data

Data Resource: Borrelia Burgdorferi Metabolic Network

Metabolic cellular network data

Data Resource: Aeropyrum Pernix Metabolic Network

Metabolic cellular network data

Data Resource: Mycoplasma Pneumoniae Metabolic Network

Metabolic cellular network data

Data Resource: Deinococcus Radiodurans Whole Network

Whole cellular network data

Data Resource: Porphyromonas Gingivalis Metabolic Network

Metabolic cellular network data

Data Resource: Neisseria Meningitidis Metabolic Network

Metabolic cellular network data

Data Resource: Emericella Nidulans Metabolic Network

Metabolic cellular network data

Data Resource: Pyrococcus Furiosus Whole Network

Whole cellular network data

Data Resource: Helicobacter Pylori Metabolic Network

Metabolic cellular network data

Data Resource: Budding Yeast Network

Protein-protein interaction network in budding yeast

Data Resource: Synechocystis Sp Metabolic Network

Metabolic cellular network data

Data Resource: Salmonella Typhi Metabolic Network

Metabolic cellular network data

Data Resource: Methanococcus Jannaschii Metabolic Network

Metabolic cellular network data

Data Resource: Clostridium Acetobutylicum Whole Network

Whole cellular network data

Data Resource: Arabidopsis Thaliana Metabolic Network

Metabolic cellular network data

Data Resource: Treponema Pallidum Metabolic Network

Metabolic cellular network data

Data Resource: Thermotoga Maritima Whole Network

Whole cellular network data

Data Resource: Bacillus Subtilis Whole Network

Whole cellular network data

Data Resource: Slovene Parliamentary Parties Network

Relations between Slovene parliamentary political parties in 1994

Data Resource: Coauthorships in Network Science Network

Weighted network of coauthorships between scientists working on network science

Data Resource: Cell Ontology Network

Network of ontology for cell types

Data Resource: Davis Southern Women Social Network

The network of a Southern women social club

Data Resource: Aquifex Aeolicus Metabolic Network

Metabolic cellular network data

Data Resource: Enterococcus Faecalis Metabolic Network

Metabolic cellular network data

Function Resource: DepthLeafCountSort

Sort expressions by depth and leaf count

Function Resource: RandomSmilesString

Get a random SMILES string for a molecule

Function Resource: CodeCases

Isolate code structures

Function Resource: ImportNewickString

Import a string in Newick format

Data Resource: Sample Data: Anscombe Regression Lines

Anscombe's 4 regression line data

Data Resource: Sample Tabular Data: Health Expenditure

Life expectancy vs. health expenditure, 1970 to 2020, for selected countries

Paclet Resource: PeterBurbery/WordCloud

Word cloud functionality

Function Resource: CayleyMengerMatrix

Evaluate the Cayley-Menger matrix of a simplex

Paclet Resource: AntonAntonov/TileStats

Tilling over 2D data and related statistics

Paclet Resource: AntonAntonov/SoftwareDesignMethodsWithWLBook

The book "Software Design Methods with Wolfram Language" as a paclet

Function Resource: PolygonMarker

Create markers carefully designed for the creation of publication-quality plots

Function Resource: ParityPairings

List all possible partitions of a list into disjoint pairs

Function Resource: MultisetDerangements

Find derangements for a multiset

Function Resource: HyperDet

Compute the hyperdeterminant for a given hypermatrix (a multidimensional array of complex numbers)

Function Resource: NumberOfTableaux

Get a count of Young tableaux for a given size or shape

Function Resource: TableauQ

Determine if a list of values forms a Young tableau

Function Resource: StandardYoungTableaux

Enumerate all standard Young tableaux of a given shape

Function Resource: SkipListStructure

A values-sorted data structure with fast insertion and deletion

Function Resource: GeneralizedSmoothStep

A generalized sigmoidal interpolating polynomial

Data Resource: Sample Data: Birth Weight Risk

9 potential risk factors for low birth weight with birth weight outcomes.

Function Resource: GenericInvariant

Compute the generic invariant of a group

Function Resource: Derangements

Give all the ways the numbers 1, 2, …, n can be scrambled completely

Data Resource: Human Protein Atlas

Data from The Human Protein Atlas

Function Resource: OutShuffle

Perform an out shuffle on a list

Function Resource: InShuffle

Perform an in shuffle on a list

Function Resource: TupperDecipher

Decrypt with Tupper’s self-referential formula

Function Resource: TupperCipher

Encrypt with Tupper’s self-referential formula

Function Resource: Ranking

Find the rank of each of the items in a list

Data Resource: Human Protein Protein Interaction Network Genes

Dataset containing information on all protein coding genes in the Human Protein Protein Interaction Network (PPIN)

Function Resource: FaurePoint

Get a point belonging to the Faure sequence

Function Resource: HexagrammumMysticum

Compute the Hexagrammum Mysticum for six points on a conic section

Example Resource: Visualize Depth in a Single Image

Use a pre-trained neural net to estimate the depth

Function Resource: ClosestPairOfPoints

Find the pair of points with the closest distance

Function Resource: NetParallelOperator

Perform multiple operations on an input in a neural net

Function Resource: PlotClusters

Cluster and plot two-dimensional points

Example Resource: Create a Neural Network Layer from Commonly Used Distance Functions

Example Resource: 3D Facial Reconstruction from 2D Images

Use neural networks to estimate the shape of a face with unguided volumetric regression

Example Resource: Relationships between Particle Detectors

Visualize links between families of measurement devices

Function Resource: StauduharGaloisGroup

Use Stauduhar's method for Galois groups of polynomials

Function Resource: LogSumExpLayer

Neural network layer that implements the LogSumExp operation on any level

Function Resource: PersistentHomology

Perform persistent homology on a point cloud dataset

Function Resource: GridSampleLayer

Define a neural net layer for image transformation based on input and index grids

Example Resource: Fooling Neural Networks

Construct illusions for image classification networks

Example Resource: See How a Neural Net Works

Visualize the inner working of a trained image classification network

Function Resource: AttentionBlock

Build a multi-head attention net

Function Resource: NetFuseBatchNorms

Fuse a BatchNormalization layer preceded by a ConvolutionLayer into a single ConvolutionLayer

Function Resource: TrainTestSplit

Split data into training and testing sets

Example Resource: Train an Age Estimation Network

Use surgery functionality to train a net from the Wolfram Neural Net Repository

Function Resource: GaloisGroupProperties

Compute the Galois group for a polynomial

Function Resource: ExportRotatingGIF

Export 3D graphic objects as spinning animations in GIF format

Example Resource: Classify Spoken Digits

Use the neural net framework to enable powerful and user-friendly network training tools for audio objects

Example Resource: Train a Custom Image Classifier

Retrain an image classifier network to automatically distinguish dromedaries from camels

Function Resource: RandomItem

Create a random item of the specified type