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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`
HyperedgeList
​
HyperedgeList
[hg]
gives the hyperedges of the hypergraph hg as a list of
Hyperedge
objects, each carrying its own edge symmetry.
​
​
HyperedgeList
[hg,patt]
gives only the hyperedges that match the pattern patt.
​
Details and Options
▪
Each element of
HyperedgeList
[hg]
is
Hyperedge
[edge,sym]
, or plain
Hyperedge
[edge]
when sym is
"Unordered"
.
▪
HyperedgeList
[hg]
packages the same information as
EdgeListTagged
and hg's
"EdgeSymmetry"
option together, one
Hyperedge
per hyperedge.
▪
Passing the resulting list back to
Hypergraph
reconstructs a hypergraph with the same edges and symmetries.
​
Examples  
(4)
Basic Examples  
(2)
Get the hyperedges of a hypergraph, each annotated with its symmetry:
In[1]:=
HyperedgeList

Hypergraph
[{{1,2,3},{3,4}},"EdgeSymmetry"{{1,2,3}"Cyclic"}]
Out[1]=
{
[1,2,3]
,
(3,4)
}
_________________________________________________________________________________________________________________
Filter to hyperedges matching a pattern:
In[1]:=
HyperedgeList

Hypergraph
[{{1,2,3},{3,4},{1,2}}],
Hyperedge
[{1,_}]
Out[1]=
{
(1,2)
}
Scope  
(1)

Properties & Relations  
(1)

SeeAlso
Hyperedge
 
▪
EdgeSymmetry
 
▪
EdgeListTagged
 
▪
Hypergraph
RelatedGuides
▪
HypergraphFunctionality
""

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