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A short simplicial h-vector and the upper bound theorem

Year: 2001
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2949863184
Cites: 8
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Related to: 10