On the cd-index and γ-vector of S*-shellable CW-spheres

Satoshi Murai, Eran Nevo

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We show that the γ-vector of the order complex of any polytope is the f-vector of a balanced simplicial complex. This is done by proving this statement for a subclass of Stanley's S-shellable CW-spheres which includes all polytopes. The proof shows that certain parts of the cd-index, when specializing c = 1 and considering the resulted polynomial in d, are the f-polynomials of simplicial complexes that can be colored with "few" colors. We conjecture that the cd-index of a regular CW-sphere is itself the flag f-vector of a colored simplicial complex in a certain sense.

本文言語English
ページ(範囲)1309-1319
ページ数11
ジャーナルMathematische Zeitschrift
271
3-4
DOI
出版ステータスPublished - 2012 8

ASJC Scopus subject areas

  • Mathematics(all)

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