A combinatorial decomposition of acyclic simplicial complexes

DOI10.1016/0012-365X(93)90574-DzbMath0782.55004OpenAlexW2128372375MaRDI QIDQ687119

Richard P. Stanley

Publication date: 1 November 1993

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

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90574-d

zbMATH Keywords

\(f\)-vector of an acyclic simplicial complexfinite acyclic simplicial complex

Mathematics Subject Classification ID

Singular homology and cohomology theory (55N10) PL-topology (57Q99)

Related Items

A combinatorial decomposition of simplicial complexes, Resolving Stanley's conjecture on $k$-fold acyclic complexes, Morse theory for cell complexes, Directed rooted forests in higher dimension, Iterated homology and decompositions of simplicial complexes, Unnamed Item, Resolving Stanley's conjecture on \(k\)-fold acyclic complexes, Iterated homology of simplical complexes, On \(f\)-vectors and relative homology, Combinatorial triangulations of homology spheres

Cites Work

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• An extended Euler-Poincaré theorem
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• Hilbert functions of graded algebras
• Acyclic Digraphs, Young Tableaux and Nilpotent Matrices
• Balanced Cohen-Macaulay Complexes