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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`
HypergraphIncidence
​
HypergraphIncidence
[hg]
gives an association from each vertex of hg to the list of hyperedges it belongs to.
​
Details and Options
▪
The keys of the result are the vertices of hg, in the order given by
VertexList
; the value at each vertex is the list of hyperedges of hg containing it, in
EdgeList
order.
▪
A vertex belonging to no hyperedge gets the empty list
{}
.
▪
VertexDegree
of hg is the length of each vertex's incidence list.
​
Examples  
(5)
Basic Examples  
(1)
Find, for each vertex, the hyperedges it belongs to:
In[1]:=
Normal@
HypergraphIncidence

Hypergraph
[{{1,2},{2,3},{1,2,3}}]
Out[1]=
{1{{1,2},{1,2,3}},2{{1,2},{2,3},{1,2,3}},3{{2,3},{1,2,3}}}
Scope  
(2)

Properties & Relations  
(1)

Possible Issues  
(1)

SeeAlso
HypergraphIncidenceMatrix
 
▪
EdgeSymmetry
 
▪
Hypergraph
RelatedGuides
▪
HypergraphFunctionality
""

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