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arXiv · 2610.24438

Bounded powers of edge ideals: Nearly Gorenstein polytopes

Takayuki Hibi·Seyed Amin Seyed Fakhari
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Abstract

A lattice polytope $\mathcal{P} \subset \mathbb{R}^n$ of dimension $n$ is called nearly Gorenstein if $\mathcal{P}$ is normal and if its Ehrhart ring is a nearly Gorenstein ring. We study nearly Gorenstein polytopes arising from discrete polymatroids of bounded powers of edge ideals. Especially, it is shown that every nearly Gorenstein polytope coming from either a complete graph or a complete bipartite graph is level.

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Takayuki Hibi, Seyed Amin Seyed Fakhari. 2026-10-17. Bounded powers of edge ideals: Nearly Gorenstein polytopes. https://arxiv.org/abs/2610.24438

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