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Balanced subdivision and enumeration in balanced spheres

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Publication:1095917
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DOI10.1007/BF02187885zbMath0633.05023OpenAlexW1994614809MaRDI QIDQ1095917

Katherine E. Magurn, Billera, Louis J.

Publication date: 1987

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131024


zbMATH Keywords

affine spaceDehn-Sommerville equationsstellar subdivisionminimal complexbalanced polytopes


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Polytopes and polyhedra (52Bxx)


Related Items (3)

On low-dimensional faces that high-dimensional polytopes must have ⋮ Combinatorics of antiprism triangulations ⋮ Face enumeration-from spheres to manifolds



Cites Work

  • Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets
  • Stellar subdivisions of boundary complexes of convex polytopes
  • Even Triangulations of S 3 and the Coloring of Graphs
  • Balanced Cohen-Macaulay Complexes
  • A Combinatorial Analogue of Poincaré's Duality Theorem
  • Shellable Decompositions of Cells and Spheres.
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