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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`
ToOrderedHypergraph
​
ToOrderedHypergraph
[hg]
gives a hypergraph with
"Ordered"
edge symmetry, obtained by expanding every hyperedge of hg over its full edge symmetry group.
​
Details and Options
▪
Each hyperedge of hg is replaced by one copy per element of its
EdgeSymmetry
group, with the vertices permuted accordingly; the result's
"EdgeSymmetry"
is
"Ordered"
throughout, so no further symmetrization applies to it.
▪
A hyperedge already given with
"Ordered"
symmetry contributes only its single, unpermuted copy.
▪
A tag on a hyperedge is copied onto every one of its expanded copies.
▪
Vertex and edge annotations (styles, labels, and other options of hg) are preserved.
▪
ToOrderedHypergraph
requires an actual
Hypergraph
object; it does not accept a raw edge-spec list.
​
Examples  
(8)
Basic Examples  
(2)
Expand the default
"Unordered"
symmetry of a pair into both of its orderings:
In[1]:=
EdgeList
ToOrderedHypergraph

Hypergraph
[{{1,2}}]
Out[1]=
{{1,2},{2,1}}
_________________________________________________________________________________________________________________
The result's
"EdgeSymmetry"
option is
"Ordered"
for every edge:
In[1]:=
UnionLookupOptions
ToOrderedHypergraph

Hypergraph
[{{1,2}}],"EdgeSymmetry"All,2
Out[1]=
{Ordered}
Scope  
(4)

Properties & Relations  
(2)

SeeAlso
OrderedHypergraphToGraph
 
▪
EdgeSymmetry
 
▪
CanonicalHypergraph
 
▪
HypergraphToGraph
RelatedGuides
▪
HypergraphFunctionality
""

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