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Blending simple polytopes at faces

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Publication:1877657
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DOI10.1016/j.disc.2004.02.006zbMath1113.52028OpenAlexW2044386180MaRDI QIDQ1877657

Fred B. Holt

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.02.006


zbMATH Keywords

Hirsch conjecturePathsDiameterPolytopesBlend


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of finite geometries (05B25)


Related Items

Edge-Graph Diameter Bounds for Convex Polytopes with Few Facets



Cites Work

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  • Many polytopes meeting the conjectured Hirsch bound
  • More polytopes meeting the conjectured Hirsch bound
  • The \(d\)-step conjecture for polyhedra of dimension \(d<6\)
  • A simple 4-dimensional nonfacet
  • Some upper bounds for the diameters of convex polytopes
  • Realization spaces of polytopes
  • Lectures on Polytopes
  • Convex Polytopes
  • Diameters of Polyhedral Graphs
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