Shellability of chessboard complexes

DOI10.1007/BF02772986zbMath0828.57017OpenAlexW2147942906MaRDI QIDQ1335149

Günter M. Ziegler

Publication date: 27 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772986

zbMATH Keywords

chessboard complexshellabilityabstract simplicial complexhomology basishomotopy Cohen-Macaulayvertex decomposability

Mathematics Subject Classification ID

Polytopes and polyhedra (52B99) Designs and configurations (05B99) PL-topology (57Q99)

Related Items

Topology of bounded-degree graph complexes., Representation stability for syzygies of line bundles on Segre-Veronese varieties, Generalized chessboard complexes and discrete Morse theory, Connectivity at infinity for state spaces of complete bipartite graphs, Rook placements and cellular decomposition of partition varieties, Simplicial complexes of triangular Ferrers boards, Torsion in the matching complex and chessboard complex, General polygonal line tilings and their matching complexes, MANIFOLD MATCHING COMPLEXES, The facet ideals of chessboard complexes, A characterization of two-dimensional Buchsbaum matching complexes, Tverberg's theorem and graph coloring, A local criterion for Tverberg graphs, TANGLE SUM AND CONSTRUCTIBLE SPHERES, On the 3-torsion part of the homology of the chessboard complex, Shellable nonpure complexes and posets. II, Multiple chessboard complexes and the colored Tverberg problem, Exact sequences for the homology of the matching complex, Chessboard complexes indomitable, Matching complexes, bounded degree graph complexes, and weight spaces of \(\mathrm{GL}_n\)-complexes, Cycle-free chessboard complexes and symmetric homology of algebras, Five-torsion in the homology of the matching complex on 14 vertices, Shelling Coxeter-like complexes and sorting on trees, Higher matching complexes of complete graphs and complete bipartite graphs, The facet ideals of matching complexes of line graphs, Bounded degree complexes of forests, Matching complexes of trees and applications of the matching tree algorithm, Optimal bounds for the colored Tverberg problem, Regular Tessellation Link Complements

Cites Work

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• Some combinatorial and algebraic properties of Coxeter complexes and Tits buildings
• On geometric semilattices
• Matching theory
• The colored Tverberg's problem and complexes of injective functions
• A Generalized van Kampen-Flores Theorem
• On Lexicographically Shellable Posets
• The d-Step Conjecture and Its Relatives
• Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
• Chessboard Complexes and Matching Complexes