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On the numbers of faces of low-dimensional regular triangulations and shellable balls

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Publication:658380
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DOI10.1216/RMJ-2011-41-6-1939zbMath1238.52003MaRDI QIDQ658380

Laura Schmidt, Carl W. Lee

Publication date: 12 January 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

\(h\)-vector\(g\)-theorem\(M\)-vectorregular triangulationshellable ball


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Shellability for polytopes and polyhedra (52B22) Combinatorial aspects of simplicial complexes (05E45)


Related Items

\(f\)-vectors of triangulated balls



Cites Work

  • Unnamed Item
  • Rigidity and the lower bound theorem. I
  • \(f\)-vectors of triangulated balls
  • Face enumeration-from spheres to manifolds
  • Neighborly polytopes
  • Many triangulated spheres
  • The number of faces of a simplicial convex polytope
  • A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
  • The number of faces of polytope pairs and unbounded polyhedra
  • \(L\)-free groups.
  • Kalai's squeezed spheres are shellable
  • Lectures on Polytopes
  • A generalized lower‐bound conjecture for simplicial polytopes
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