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SimplicialDecomposability :: isSheddingVertex

isSheddingVertex -- determines whether a vertex of a simplicial complex is a shedding vertex



Definition 11.1 of [BW-2] states that a shedding vertex $x$ of a simplicial complex $S$ is a vertex such that the link and face deletion of $x$ from $S$ are vertex decomposable and share no common facets.

i1 : R = QQ[a..f];
i2 : S = simplicialComplex {a*b*c, c*d, d*e, e*f, d*f};
i3 : isSheddingVertex(a, S)

o3 = false
i4 : isSheddingVertex(f, S)

o4 = true

See also

Ways to use isSheddingVertex :

For the programmer

The object isSheddingVertex is a method function.