Reverse lexicographic squarefree initial ideals and Gorenstein Fano polytopes

Abstract

Via the theory of reverse lexicographic squarefree initial ideals of toric ideals, we give a new class of Gorenstein Fano polytopes (reflexive polytopes) arising from a pair of stable set polytopes of perfect graphs.

12 pages, Introduction is improved, References are added, and some minor revisions

References in corpus (1)

• Centrally symmetric configurations of order polytopes

Cited by in corpus (6)

• Reflexive polytopes arising from perfect graphs
• Reflexive polytopes arising from bipartite graphs with $\gamma$-positivity associated to interior polynomials
• Integer decomposition property for Cayley sums of order and stable set polytopes
• Volume, facets and dual polytopes of twinned chain polytopes
• Enriched order polytopes and Enriched Hibi rings
• Enriched chain polytopes