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 |
The object isSheddingVertex is a method function.