f-vectors implying vertex decomposability
Combinatorics
2013-02-19 v1 Commutative Algebra
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.
Cite
@article{arxiv.1302.4401,
title = {f-vectors implying vertex decomposability},
author = {Michał Lasoń},
journal= {arXiv preprint arXiv:1302.4401},
year = {2013}
}