A short simplicial h-vector and the upper bound theorem

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62758We 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.Combinatorics05E99A short simplicial h-vector and the upper bound theoremtext