Frankl-Füredi-Kalai Inequalities on the $γ$-vectors of flag nestohedra

Details Frankl-Füredi-Kalai Inequalities on the $γ$-vectors of flag nestohedra Frankl-Füredi-Kalai Inequalities on the $γ$-vectors of flag nestohedra

2012-03-21

arxiv.org/abs/1203.4715v1

Mathematics

Combinatorics

16 pages, 3 figures

Scientific paper

For any flag nestohedron, we define a flag simplicial complex whose $f$-vector is the $\gamma$-vector of the nestohedron. This proves that the $\gamma$-vector of any flag nestohedron satisfies the Frankl-F\"{u}redi-Kalai inequalities, partially solving a conjecture by Nevo and Petersen \cite{np}. We also compare these complexes to those defined by Nevo and Petersen in \cite{np} for particular flag nestohedra.

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