Faces and bases: Dehn-Sommerville type relations

2004/11/10 by Andrey O. Matveev, Matveev, Andrey O. · 1 citation
Mathematics · #13F55 #15A99 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #math.CO #msc:13F55 #msc:15A99

paper · pdf · doi:10.48550/arxiv.math/0411241

17 pages, 1 figure

arxiv created 2004/11/10 · openalex publication_date 2004/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review several linear algebraic aspects of the Dehn-Sommerville relations and relate redundant analogues of the f- and h-vectors describing the subsets of a simplex 2^1,...,m that satisfy Dehn-Sommerville type relations to integer points contained in some rational polytopes.

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• Faces and bases: Boolean intervals

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• The Dehn-Sommerville Relations and the Catalan Matroid
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