%0 Journal Article %T Frankl-F¨¹redi-Kalai Inequalities on the $¦Ã$-vectors of flag nestohedra %A Natalie Aisbett %J Mathematics %D 2012 %I arXiv %X 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. %U http://arxiv.org/abs/1203.4715v1