Algebraic shifting of cyclic polytopes and stacked polytopes

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4 Citations (Scopus)

Abstract

Gil Kalai introduced the shifting-theoretic upper bound relation as a method to generalize the g-theorem for simplicial spheres by using algebraic shifting. We will study the connection between the shifting-theoretic upper bound relation and combinatorial shifting. Also, we will compute the exterior algebraic shifted complex of the boundary complex of the cyclic d-polytope as well as of a stacked d-polytope. It will turn out that, in both cases, the exterior algebraic shifted complex coincides with the symmetric algebraic shifted complex.

Original languageEnglish
Pages (from-to)1707-1721
Number of pages15
JournalDiscrete Mathematics
Volume307
Issue number14
DOIs
Publication statusPublished - 2007 Jun 28
Externally publishedYes

Keywords

  • Algebraic shifting
  • Simplicial polytopes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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