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- W4297074709 abstract "In attempting to understand how combinatorial modifications alter algebraic properties of monomial ideals, several authors have investigated the process of adding whiskers to graphs. In this paper, we study a similar construction to build a simplicial complex $Delta_chi$ from a coloring $chi$ of a subset of the vertices of $Delta$, and give necessary and sufficient conditions for this construction to produce vertex decomposable simplicial complexes. We apply this work to strengthen and give new proofs about sequentially Cohen-Macaulay edge ideals of graphs." @default.
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- W4297074709 date "2012-09-13" @default.
- W4297074709 modified "2023-09-28" @default.
- W4297074709 title "Partial coloring, vertex decomposability, and sequentially Cohen-Macaulay simplicial complexes" @default.
- W4297074709 doi "https://doi.org/10.48550/arxiv.1209.3008" @default.
- W4297074709 hasPublicationYear "2012" @default.
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