Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
WolframInstitute`Hypergraph`
HypergraphArityReduce  |
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Each hyperedge of arity n is replaced by , so it contributes hyperedges of arity k; a tag on the original hyperedge is copied onto each subset.
(
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𝑛 |
𝑘 |
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A hyperedge of arity less than k contributes no subsets and disappears from the result.
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A hyperedge already of arity k contributes only itself, unchanged.
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The vertex list, including isolated vertices, is unchanged.
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Vertex-level options such as are unchanged; the edge-level options , , , and are remapped from each original hyperedge onto its resulting subsets.
"EdgeSymmetry"
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requires an actual object; it does not accept a raw edge-spec list.
Examples
(7)
Basic Examples
(1)
Reduce a ternary hyperedge to all of its pairs, alongside a pair that is already at the target arity:
In[1]:=
hg=
[{{1,2,3},{2,3}}];EdgeList
[hg,2]
 | Hypergraph |
 | HypergraphArityReduce |
Out[1]=
{{1,2},{1,3},{2,3},{2,3}}
The resulting pairs inherit the symmetry of the original ternary edge:
"Unordered"
In[2]:=
 | EdgeSymmetry |
| HypergraphArityReduce |
Out[2]=
{{Cycles[{}],Cycles[{{1,2}}]},{Cycles[{}],Cycles[{{1,2}}]},{Cycles[{}],Cycles[{{1,2}}]},{Cycles[{}],Cycles[{{1,2}}]}}
Scope
(4)
Properties & Relations
(1)
Possible Issues
(1)
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