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Hypergraph Functionality

Symbols

AdjacencyHypergraph
AdjacencyTensor
EnumerateHypergraphs
HighlightRule
HyperMatrix
HyperMatrixGraph
Hypergraph
HypergraphDraw
HypergraphIncidenceMatrix
HypergraphRule
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

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AdjacencyHypergraph

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TechNotes

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Links to examples, tutorials...