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Shellings and Sheddings Induced by Collapses

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Publication:4959656
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DOI10.1137/19M1290826zbMath1473.05332arXiv1909.13850MaRDI QIDQ4959656

Michael Skotnica, Thomas Magnard, Martin Tancer

Publication date: 17 September 2021

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

Full work available at URL: https://arxiv.org/abs/1909.13850


zbMATH Keywords

simplicial complexescollapsibilityshellabilityvertex-decomposability


Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Shellability for polytopes and polyhedra (52B22) Combinatorial aspects of simplicial complexes (05E45)




Cites Work

  • Unnamed Item
  • Knots in collapsible and non-collapsible balls
  • Unshellable triangulations of spheres
  • General lexicographic shellability and orbit arrangements
  • Resolutions by mapping cones
  • Subdivisions, Shellability, and collapsibility of products
  • Decompositions of two-dimensional simplicial complexes
  • On Lexicographically Shellable Posets
  • Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
  • Shellability is NP-complete
  • Simplicial Spaces, Nuclei and m -Groups
  • Combinatorial algebraic topology
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