Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

Primary Navigation

    • Cloud & Deployment
    • Core Language & Structure
    • Data Manipulation & Analysis
    • Engineering Data & Computation
    • External Interfaces & Connections
    • Financial Data & Computation
    • Geographic Data & Computation
    • Geometry
    • Graphs & Networks
    • Higher Mathematical Computation
    • Images
    • Knowledge Representation & Natural Language
    • Machine Learning
    • Notebook Documents & Presentation
    • Scientific and Medical Data & Computation
    • Social, Cultural & Linguistic Data
    • Strings & Text
    • Symbolic & Numeric Computation
    • System Operation & Setup
    • Time-Related Computation
    • User Interface Construction
    • Visualization & Graphics
    • Random Paclet
    • Alphabetical List
  • Using Paclets
    • Get Started
    • Download Definition Notebook
  • Learn More about Wolfram Language

Hypergraph

Guides

  • Hypergraph Functionality

Tech Notes

  • Hypergraph Rewriting

Symbols

  • AdjacencyHypergraph
  • AdjacencyTensor
  • CanonicalHypergraph
  • CanonicalHypergraphRule
  • ConnectedHypergraphQ
  • CyclicEdge
  • EdgeListTagged
  • EdgeMultiplicity
  • EdgeSymmetry
  • EnumerateHypergraphRules
  • EnumerateHypergraphs
  • EnumerateOrderedHypergraphs
  • EnumerateWolframModelRules
  • HighlightRule
  • HyperedgeList
  • Hyperedge
  • Hyperedges
  • HyperedgesQ
  • Hypergraph3D
  • HypergraphArityReduce
  • HypergraphDraw
  • HypergraphEmbedding
  • HypergraphHadamardProduct
  • HypergraphIncidenceMatrix
  • HypergraphIncidence
  • HypergraphInsertionBracketDegree
  • HypergraphInsertionBracket
  • HypergraphInsertion
  • HypergraphLargeQ
  • Hypergraph
  • HypergraphQ
  • HypergraphRuleDraw
  • HypergraphRule
  • HypergraphRuleQ
  • HypergraphToGraph
  • HypergraphTransitionMatrix
  • HypergraphUnion
  • HypermatrixGraph
  • Hypermatrix
  • HypermatrixQ
  • IncidenceHypergraph
  • IsomorphicHypergraphQ
  • KoszulSign
  • LinkedHypergraph
  • OrderedHypergraphToGraph
  • RandomAllHypergraph
  • RandomConnectedHypergraph
  • RandomHypergraph
  • RandomHypergraphRule
  • SetHypergraphSummaryThresholds
  • SimpleHypergraph
  • SimpleHypergraphPlot3D
  • SimpleHypergraphPlot
  • SimpleHypergraphQ
  • ToLabeledEdges
  • ToLabeledPatternEdges
  • ToOrderedHypergraph
  • ToPatternRules
WolframInstitute`Hypergraph`
SimpleHypergraph
​
SimpleHypergraph
[hg]
gives the hypergraph obtained from hg by removing hyperedges with a repeated vertex and merging hyperedges that agree up to their edge symmetry.
​
​
SimpleHypergraph
[args]
gives
SimpleHypergraph
[Hypergraph[args]]
.
​
Details and Options
▪
Two hyperedges that are permutations of one another under their shared
EdgeSymmetry
are merged into one; for example two
"Unordered"
copies of the same vertex set collapse to a single hyperedge.
▪
A hyperedge with a repeated vertex, such as a self-loop
{v,v}
, is dropped entirely rather than merged.
▪
The vertex list of hg, including any isolated vertices, is unchanged.
▪
SimpleHypergraphQ
tests whether a hypergraph already equals its own
SimpleHypergraph
.
​
Examples  
(9)
Basic Examples  
(2)
Duplicate copies of the same hyperedge are merged into one:
In[1]:=
EdgeList
SimpleHypergraph

Hypergraph
[{{1,2},{1,2},{2,3}}]
Out[1]=
{{1,2},{2,3}}
_________________________________________________________________________________________________________________
An edge with a repeated vertex is removed:
In[1]:=
EdgeList
SimpleHypergraph

Hypergraph
[{{1,1},{1,2}}]
Out[1]=
{{1,2}}
Scope  
(4)

Properties & Relations  
(3)

SeeAlso
SimpleHypergraphQ
 
▪
EdgeSymmetry
 
▪
EdgeMultiplicity
 
▪
Hypergraph
RelatedGuides
▪
HypergraphFunctionality
""

© 2026 Wolfram. All rights reserved.

  • Legal & Privacy Policy
  • Contact Us
  • WolframAlpha.com
  • WolframCloud.com