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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`
Hyperedges
​
Hyperedges
[e1,e2,…]
represents a collection of hyperedges e1, e2, …, each given in the same form as an edge in the list passed to
Hypergraph
.
​
Details and Options
▪
Hyperedges
is the internal representation
Hypergraph
uses for its edges;
HyperedgesQ
tests whether an expression is a valid
Hyperedges
object.
▪
Each ei is a list of vertices, optionally tagged as edge

tag, or wrapped in
Labeled
,
Style
, or
Annotation
to carry per-edge styling recognized by
Hypergraph
.
▪
he["EdgeList"]
gives the hyperedges with any tags stripped;
he["EdgeListTagged"]
keeps the

tag on tagged edges;
he["VertexList"]
gives the deduplicated vertices appearing in any hyperedge.
▪
Join
concatenates
Hyperedges
collections in argument order;
Inverse
reverses both the order of the hyperedges and the vertex order within each hyperedge.
▪
Hyperedges[0]
gives
Hyperedges[]
(no hyperedges) and
Hyperedges[1]
gives
Hyperedges[{}]
(one empty hyperedge); any other atom v becomes the singleton hyperedge
{v}
.
​
Examples  
(9)
Basic Examples  
(2)
Build a collection of hyperedges directly:
In[1]:=
he=
Hyperedges
[{1,2},{2,3},{1,2,3}]
Out[1]=
(1×2)⊕(2×3)⊕(1×2×3)
Its edge list matches the vertex lists it was given:
In[2]:=
he["EdgeList"]
Out[2]=
{{1,2},{2,3},{1,2,3}}
_________________________________________________________________________________________________________________
A hyperedge can carry a tag, kept by
"EdgeListTagged"
:
In[1]:=
Hyperedges
[{1,2}"a"]["EdgeListTagged"]
Out[1]=
{{1,2}a}
Scope  
(4)

Properties & Relations  
(2)

Possible Issues  
(1)

SeeAlso
Hyperedge
 
▪
HyperedgeList
 
▪
EdgeListTagged
 
▪
HypergraphQ
 
▪
Hypergraph
RelatedGuides
▪
HypergraphFunctionality
""

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