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arXiv · 1302.4401

f-vectors implying vertex decomposability

Michał Lasoń
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Abstract

We prove that if a pure simplicial complex of dimension d with n facets has the least possible number of (d-1)-dimensional faces among all complexes with n faces of dimension d, then it is vertex decomposable. This answers a question of J. Herzog and T. Hibi. In fact we prove a generalization of their theorem using combinatorial methods.

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Michał Lasoń. 2013-02-18. f-vectors implying vertex decomposability. https://doi.org/10.1007/s00454-012-9477-6

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