Lower Bounds for Buchsbaum* Complexes
Combinatorics
2010-02-08 v1
Abstract
The class of -dimensional Buchsbaum* simplicial complexes is studied. It is shown that the rank-selected subcomplexes of a (completely) balanced Buchsbaum* simplicial complex are also Buchsbaum*. Using this result, lower bounds on the -numbers of balanced Buchsbaum* simplicial complexes are established. In addition, sharp lower bounds on the -numbers of flag -Buchsbaum* simplicial complexes are derived, and the case of equality is treated.
Keywords
Cite
@article{arxiv.1002.1256,
title = {Lower Bounds for Buchsbaum* Complexes},
author = {Jonathan Browder and Steven Klee},
journal= {arXiv preprint arXiv:1002.1256},
year = {2010}
}