On a regularity-conjecture of generalized binomial edge ideals
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915647019024384 |
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| author | J, Anuvinda Mehta, Ranjana Saha, Kamalesh |
| author_facet | J, Anuvinda Mehta, Ranjana Saha, Kamalesh |
| contents | In this paper, we prove the upper bound conjecture proposed by Saeedi Madani \& Kiani on the Castelnuovo-Mumford regularity of generalized binomial edge ideals. We give a combinatorial upper bound of regularity for generalized binomial edge ideals, which is better than the bound claimed in that conjecture. Also, we show that the bound is tight by providing an infinite class of graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a regularity-conjecture of generalized binomial edge ideals J, Anuvinda Mehta, Ranjana Saha, Kamalesh Commutative Algebra Combinatorics Rings and Algebras 16E05, 13C13, 13P25, 05E40, 05C69 In this paper, we prove the upper bound conjecture proposed by Saeedi Madani \& Kiani on the Castelnuovo-Mumford regularity of generalized binomial edge ideals. We give a combinatorial upper bound of regularity for generalized binomial edge ideals, which is better than the bound claimed in that conjecture. Also, we show that the bound is tight by providing an infinite class of graphs. |
| title | On a regularity-conjecture of generalized binomial edge ideals |
| topic | Commutative Algebra Combinatorics Rings and Algebras 16E05, 13C13, 13P25, 05E40, 05C69 |
| url | https://arxiv.org/abs/2512.01527 |