# Reflexive polytopes arising from perfect graphs

## TL;DR

This paper introduces a new class of reflexive polytopes derived from perfect graphs that have the integer decomposition property, using algebraic techniques, and studies their Ehrhart δ-polynomials.

## Contribution

It presents a novel class of reflexive polytopes from perfect graphs with the integer decomposition property, analyzed via Gröbner bases.

## Key findings

- New class of reflexive polytopes from perfect graphs
- Polytopes possess the integer decomposition property
- Ehrhart δ-polynomials of these polytopes are studied

## Abstract

Reflexive polytopes form one of the distinguished classes of lattice polytopes. Especially reflexive polytopes which possess the integer decomposition property are of interest. In the present paper, by virtue of the algebraic technique on Gr\"onbner bases, a new class of reflexive polytopes which possess the integer decomposition property and which arise from perfect graphs will be presented. Furthermore, the Ehrhart $\delta$-polynomials of these polytopes will be studied.