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Community-contributed installable additions to the Wolfram Language
WolframInstitute`Hypergraph`
EdgeSymmetry  |
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For a hyperedge e of arity , gives a list of objects on , one for each vertex permutation of e that leaves it equivalent to itself.
𝑘
{1,…,𝑘}
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The list corresponds to hg's option: gives every permutation of the vertices, / gives only the identity, and gives the cyclic rotations.
"EdgeSymmetry"
"Unordered"
"Ordered"
"Directed"
"Cyclic"
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CyclicEdge
Examples
(6)
Basic Examples
(2)
The symmetry group of a ternary hyperedge with the default symmetry is all six permutations of its three vertices:
"Unordered"
In[1]:=
 | EdgeSymmetry |
 | Hypergraph |
Out[1]=
{{Cycles[{}],Cycles[{{2,3}}],Cycles[{{1,2}}],Cycles[{{1,2,3}}],Cycles[{{1,3,2}}],Cycles[{{1,3}}]}}
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With symmetry, only the identity permutation leaves a hyperedge equivalent to itself:
"Ordered"
In[1]:=
| EdgeSymmetry |
| Hypergraph |
Out[1]=
{{Cycles[{}]}}
Scope
(2)
Properties & Relations
(2)
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