On Face Vectors of Barycentric Subdivisions of Manifolds

DOI10.1137/090765365zbMath1222.55015OpenAlexW2029485882MaRDI QIDQ3008024

Satoshi Murai

Publication date: 17 June 2011

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ef2d799f22bbf089a099af87cb9c612d548ebd88

zbMATH Keywords

unimodalitybarycentric subdivisionssimplicial manifoldsface vectorsg-conjecture

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Simplicial sets and complexes in algebraic topology (55U10)

Related Items

Face numbers of barycentric subdivisions of cubical complexes ⋮ Combinatorial g-conjecture for interval subdivisions ⋮ A duality in Buchsbaum rings and triangulated manifolds ⋮ Combinatorics of antiprism triangulations ⋮ The \(\gamma \)-vector of a barycentric subdivision ⋮ Enumerative \(g\)-theorems for the Veronese construction for formal power series and graded algebras ⋮ The \(f\)- and \(h\)-vectors of interval subdivisions

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