Edge ideals whose all matching powers are bi-Cohen-Macaulay

We classify all graphs $G$ satisfying the property that all matching powers $I(G)^{[k]}$ of the edge ideal $I(G)$ are bi-Cohen-Macaulay for $1\le k\leν(G)$, where $ν(G)$ is the maximum size of a matching of $G$.

Publication Details

Journal
ArXiv.org
Published
2025-03-11
Primary Topic
Commutative Algebra and Its Applications
Type
article
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article

Edge ideals whose all matching powers are bi-Cohen-Macaulay

ArXiv.org
Commutative Algebra and Its Applications
article

Edge ideals whose all matching powers are bi-Cohen-Macaulay

article en

Abstract

We classify all graphs $G$ satisfying the property that all matching powers $I(G)^{[k]}$ of the edge ideal $I(G)$ are bi-Cohen-Macaulay for $1\le k\leν(G)$, where $ν(G)$ is the maximum size of a matching of $G$.

ArXiv.org
Openalex Percentile: Top 36%
Commutative Algebra and Its Applications
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Edge ideals whose all matching powers are bi-Cohen-Macaulay · ArXiv.org (2025) | TGRS Research Map | TGRS