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Hypergraph

Guides

  • Hypergraph Functionality

Symbols

  • AdjacencyHypergraph
  • AdjacencyTensor
  • EnumerateHypergraphs
  • HighlightRule
  • HypergraphDraw
  • HypergraphIncidenceMatrix
  • Hypergraph
  • HypergraphRule
  • HyperMatrixGraph
  • HyperMatrix
  • IncidenceHypergraph
  • SimpleHypergraphPlot
Hypergraph Functionality
This is a collection of functions aimed at processing hypergraphs as symbolic mathematical structures and producing effective visualizations. Based on the encoding of hyperedges as lists with a symmetry type.
Visualization
SimpleHypergraphPlot
— render a 2D or 3D graphic displaying a hypergraph with many options for vertex distribution and edge properties
Generation
GenerateHypergraph
— Given a some hypergraph metrics generate hypergraphs of those metrics, with options for "All", "Random", "Sparse", etc.
Mappings, Subhypergraphs and Classification
HypergraphMaps
— Given two hypergraphs generate all possible maps between them
​
IsomorphicHypergraphQ
— Detect whether two hypergraphs are isomorphic
​
HypergraphIsoClass
— Generate the isomorphism class of a given hypergraph, equivalently generate all the automorphisms of a given hypergraph
​
HypergraphEmbed
— Find all the embeddings of a given hypergraph into another
Operations
HypergraphAdd
— Additive union of a collection of hypergraphs
Measures
VertexCount
— give the cardinality of the vertex set of a hypergraph
EdgeCount
— give the cardinality of the edge sets of a hypergraph sorted by symmetry type and order
VertexDegree
— give the degree of each vertex sorted by symmetry type and order
Properties
HypergraphQ
— test whether an expression is a hypergraph object​
​
UndirectedHypergraphQ
— test whether all the edges of a hypergraph are of undirected type
Associated Arrays
HyperMatrix
— Generate a hypermatrix from a hypergraph
​
AdjacencyHypergraph
— Generate a hypergraph from a hypermatrix
HypergraphPlot ▪ GenerateHypergraph ▪ HypergraphMetrics ▪ HypergraphMaps ▪ HypergraphIsoQ ▪ HypergraphIsoClass ▪ AddHypergraph ▪ HypergraphEmbed ▪
HyperMatrix
 ▪
AdjacencyHypergraph
 ▪ .
TechNotes
▪
Links to examples, tutorials...
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