Decompositions of two-dimensional simplicial complexes

DOI10.1016/j.disc.2006.10.023zbMath1137.52006OpenAlexW1977436094MaRDI QIDQ2483420

Masahiro Hachimori

Publication date: 28 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.10.023

zbMATH Keywords

simplicial complexconstructibilityshellability

Mathematics Subject Classification ID

Shellability for polytopes and polyhedra (52B22)

Related Items (17)

A non-partitionable Cohen-Macaulay simplicial complex ⋮ Some remarks on PL collapsible covers of 2-dimensional polyhedra ⋮ Partitioning the projective plane and the dunce hat ⋮ NP-Hardness of Computing PL Geometric Category in Dimension 2 ⋮ On locally constructible spheres and balls ⋮ Stanley decompositions and partitionable simplicial complexes ⋮ Stability of Betti numbers under reduction processes: towards chordality of clutters ⋮ A balanced non-partitionable Cohen-Macaulay complex ⋮ Shellings and Sheddings Induced by Collapses ⋮ Unnamed Item ⋮ Connectivity properties of factorization posets in generated groups ⋮ Shellings from relative shellings, with an application to NP-completeness ⋮ Unnamed Item ⋮ Constructible Ideals ⋮ Fat-wedge filtration and decomposition of polyhedral products ⋮ Discrete Morse theory for manifolds with boundary ⋮ Frontiers of sphere recognition in practice

Cites Work

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• Unshellable triangulations of spheres
• Decompositions of simplicial balls and spheres with knots consisting of few edges
• Combinatorics and commutative algebra.
• Shellable nonpure complexes and posets. II
• Shellable Decompositions of Cells and Spheres.

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