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- W2963301920 abstract "Given any finite simplicial complex $Delta$, we show how to construct from a colouring $chi$ of $Delta$ a new simplicial complex $Delta_{chi}$ that is balanced and vertex decomposable. In addition, the $h$-vector of $Delta_{chi}$ is precisely the $f$-vector of $Delta$. Our construction generalizes the whiskering'' construction of Villarreal, and Cook and Nagel. We also reverse this construction to prove a special case of a conjecture of Cook and Nagel, and Constantinescu and Varbaro on the $h$-vectors of flag complexes." @default.
- W2963301920 created "2019-07-30" @default.
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- W2963301920 date "2013-08-09" @default.
- W2963301920 modified "2023-09-25" @default.
- W2963301920 title "Balanced Vertex Decomposable Simplicial Complexes and their h-vectors" @default.
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- W2963301920 doi "https://doi.org/10.37236/2552" @default.
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