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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`
EdgeMultiplicity
​
EdgeMultiplicity
[hg]
gives an
Association
from each distinct hyperedge of the hypergraph hg to the number of times it occurs.
​
Details and Options
▪
Two hyperedges that differ only by a permutation allowed by their
"EdgeSymmetry"
are counted as the same hyperedge, keyed by the canonical representative among the equivalent orderings.
▪
The sum of the values equals
EdgeCount
[hg]
.
▪
A hypergraph is simple, in the sense of
SimpleHypergraphQ
, exactly when every value in
EdgeMultiplicity
[hg]
is 1.
​
Examples  
(5)
Basic Examples  
(1)
Count the occurrences of each distinct hyperedge:
In[1]:=
Normal@
EdgeMultiplicity

Hypergraph
[{{1,2},{1,2},{2,3}}]
Out[1]=
{{1,2}2,{2,3}1}
Scope  
(2)

Properties & Relations  
(2)

SeeAlso
Hypergraph
 
▪
SimpleHypergraphQ
 
▪
EdgeSymmetry
 
▪
EdgeListTagged
RelatedGuides
▪
HypergraphFunctionality
""

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