Shifted symmetric $\delta$-vectors of convex polytopes

Abstract

A $\delta$-vector $δ(\Pc)= (δ_0, δ_1, ..., δ_d)$ is called shifted symmetric if ${\delta }_{d-i}={\delta }_{i+1}$ for each $0\le i\le [(d-1)/2]$. A natural family of $(0,1)$-polytopes with shifted symmetric $\delta$-vectors will be studied.

arXiv comment14 pages