Shifted symmetric $\delta$-vectors of convex polytopes

TL;DR

This paper investigates a specific class of convex polytopes whose $\

Contribution

It introduces a natural family of (0,1)-polytopes characterized by shifted symmetric $\

Findings

Identification of a natural family of (0,1)-polytopes with shifted symmetric $\

Characterization of the $\

Potential applications in combinatorics and polytope theory

Abstract

A $\delta$-vector $\delta(\Pc)= (\delta_0, \delta_1, ..., \delta_d)$ is called shifted symmetric if $\delta_{d-i} = \delta_{i+1}$ for each $0 \leq i \leq [(d-1)/2]$. A natural family of $(0,1)$-polytopes with shifted symmetric $\delta$-vectors will be studied.