A short simplicial h-vector and the upper bound theorem
Combinatorics
2007-05-23 v1
Abstract
We verify the Upper Bound Conjecture (UBC) for a class of odd-dimensional simplicial complexes that in particular includes all Eulerian simplicial complexes with isolated singularities. The proof relies on a new invariant of simplicial complexes -- a short simplicial h-vector.
Cite
@article{arxiv.math/0111302,
title = {A short simplicial h-vector and the upper bound theorem},
author = {Patricia Hersh and Isabella Novik},
journal= {arXiv preprint arXiv:math/0111302},
year = {2007}
}