Face Numbers of Certain Cohen-Macaulay Flag Complexes
Combinatorics
2010-10-13 v1
Abstract
We show that if a -dimensional Cohen-Macaulay complex is, in a certain sense, sufficiently "close" to being balanced, then there is a -dimensional balanced Cohen-Macaulay complex having the same -vector. This in turn provides some partial evidence for a conjecture of Kalai on the -vectors of Cohen-Macaulay flag complexes.
Keywords
Cite
@article{arxiv.1010.2253,
title = {Face Numbers of Certain Cohen-Macaulay Flag Complexes},
author = {Jonathan Browder},
journal= {arXiv preprint arXiv:1010.2253},
year = {2010}
}
Comments
12 pages, 5 figures