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Sequential partitions of nonpure simplicial complexes

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Publication:2051894
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DOI10.1007/s00373-021-02339-0zbMath1484.05212OpenAlexW3166240295MaRDI QIDQ2051894

Masahiro Hachimori

Publication date: 25 November 2021

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02339-0


zbMATH Keywords

simplicial complexshellabilitypartitionability


Mathematics Subject Classification ID

Combinatorial aspects of simplicial complexes (05E45)


Related Items

Partition and Cohen-Macaulay extenders ⋮ Partitioning the projective plane and the dunce hat



Cites Work

  • Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness
  • On the topology of the free complexes of convex geometries
  • On sequentially Cohen-Macaulay complexes and posets
  • Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
  • Combinatorics and commutative algebra.
  • Signable posets and partitionable simplicial complexes
  • Optimization problems on acyclic orientations of graphs, shellability of simplicial complexes, and acyclic partitions
  • The max-flow min-cut property of two-dimensional affine convex geometries
  • A non-partitionable Cohen-Macaulay simplicial complex
  • Lectures on Polytopes
  • Shellable Nonpure Complexes and Posets. I
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