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arXiv · 2404.04380

Minimal cellular resolutions of powers of graphs

Trung Chau·Tài Huy Hà·Aryaman Maithani
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Abstract

Let $G$ be a connected graph and let $I(G)$ denote its edge ideal. We classify when $I(G)^n$, for $n \ge 1$, admits a minimal Lyubeznik resolution. We also give a characterization for when $I(G)^n$ is bridge-friendly, which, in turn, implies that $I(G)^n$ has a minimal Barile-Macchia cellular resolution.

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Trung Chau, Tài Huy Hà, Aryaman Maithani. 2024-04-05. Minimal cellular resolutions of powers of graphs. https://doi.org/10.37236/13606

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