Algebraic shifting of cyclic polytopes and stacked polytopes

Satoshi Murai*

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)1707-1721
ページ数15
ジャーナルDiscrete Mathematics
307
14
DOI
出版ステータスPublished - 2007 6月 28
外部発表はい

ASJC Scopus subject areas

  • 理論的コンピュータサイエンス
  • 離散数学と組合せ数学

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