Non-Gorenstein locus and almost Gorenstein property of the Ehrhart ring of the stable set polytope of a cycle graph

DOI10.11650/tjm/221104arXiv2205.01409OpenAlexW4377287030MaRDI QIDQ6110573

Mitsuhiro Miyazaki

Publication date: 2 August 2023

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.01409

zbMATH Keywords

stable set polytopealmost Gorensteincycle graphEhrhart ringnon-Gorenstein locus

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Paths and cycles (05C38) Perfect graphs (05C17) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Unnamed Item
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• Graph Theory
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• ON THE GORENSTEIN PROPERTY OF THE EHRHART RING OF THE STABLE SET POLYTOPE OF AN H-PERFECT GRAPH
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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