A Characterization of Edge Ideals with $reg(R/I(G)) = 3$
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911541743321088 |
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| author | Kanno, Akane |
| author_facet | Kanno, Akane |
| contents | Let $G$ be a graph and $I(G)$ its edge ideal. In this paper, we give a complete characterization of the graphs $G$ for which $\reg(R/I(G)) = 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23321 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Characterization of Edge Ideals with $reg(R/I(G)) = 3$ Kanno, Akane Commutative Algebra Combinatorics Primary: 13D02, Secondary: 13F55, 05E40, 05C70 Let $G$ be a graph and $I(G)$ its edge ideal. In this paper, we give a complete characterization of the graphs $G$ for which $\reg(R/I(G)) = 3$. |
| title | A Characterization of Edge Ideals with $reg(R/I(G)) = 3$ |
| topic | Commutative Algebra Combinatorics Primary: 13D02, Secondary: 13F55, 05E40, 05C70 |
| url | https://arxiv.org/abs/2603.23321 |