This article is cited in 2 papers

Geometric realization of $\gamma$-vectors of subdivided cross polytopes

N. Aisbett^a, V. D. Volodin<sup>b

a</sup> School of Mathematics and Statistics, The University of Sydney
^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: For any flag simplicial complex Theta obtained by stellar subdividing the boundary of the cross polytope in edges, we define a flag simplicial complex Delta(Theta) whose f-vector is the gamma-vector of Theta. This proves that the gamma-vector of any such simplicial complex is the face vector of a flag simplicial complex, partially solving a conjecture by Nevo and Petersen. As a corollary we obtain that such simplicial complexes satisfy the Frankl-Furedi-Kalai inequalities.

Language: English

DOI: 10.37236/9301

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