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A Short Simplicial h -Vector and the Upper Bound Theorem

Research paper by Hersh, Novik

Indexed on: 01 Aug '02Published on: 01 Aug '02Published in: Discrete & Computational Geometry



Abstract

The Upper Bound Conjecture is verified 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.