Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframInstitute`Hypergraph`
ToLabeledPatternEdges  |
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▪
[hg] starts from the same pattern builds, and additionally rewrites any hyperedge whose is not (or ) so that its vertex pattern matches regardless of the order the vertices are listed in, using its edge symmetry's own permutation group.
"EdgeSymmetry"
"Ordered"
"Directed"
▪
Optional second and third arguments vertexCondition and edgeCondition carry the same meaning as the corresponding arguments of .
▪
This is the pattern feeds to when applying a rule's input side to a hypergraph (see on ); for a hyperedge whose symmetry is already , the result is identical to .
HypergraphRuleApply
ResourceFunction["MultiReplace"]
rule[hg]
"Ordered"
Examples
(3)
Basic Examples
(2)
For a hyperedge with the default symmetry, the pattern includes an over the ways to permute its vertices:
"Unordered"
Alternatives
In[1]:=
FreeQ
[{{1,2,3}}],Alternatives
 | ToLabeledPatternEdges |
 | Hypergraph |
Out[1]=
False
_________________________________________________________________________________________________________________
For an hyperedge, no such alternative arrangement is added:
"Ordered"
In[1]:=
FreeQ
[{{1,2,3}},"EdgeSymmetry""Ordered"],Alternatives
| ToLabeledPatternEdges |
| Hypergraph |
Out[1]=
True
Scope
(1)
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""