Strong shellability of simplicial complexes
Combinatorics
2016-04-20 v1
Abstract
Imposing a strong condition on the linear order of shellable complexes, we introduce strong shellability. Basic properties, including the existence of dimension-decreasing strong shelling orders, are developed with respect to nonpure strongly shellable complexes. Meanwhile, pure strongly shellable complexes can be characterized by the corresponding codimension one graphs. In addition, we show that the facet ideals of pure strongly shellable complexes have linear quotients.
Cite
@article{arxiv.1604.05412,
title = {Strong shellability of simplicial complexes},
author = {Jin Guo and Yi-Huang Shen and Tongsuo Wu},
journal= {arXiv preprint arXiv:1604.05412},
year = {2016}
}