A short simplicial h-vector and the upper bound theorem

2001/11/29 by Patricia Hersh, Isabella Novik, Hersh, Patricia +1
Mathematics · #05E99 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E99

paper · pdf · doi:10.48550/arxiv.math/0111302

arxiv created 2001/11/29 · arxiv updated 2009/11/30

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.

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