Application of Betti Splittings to the Regularity of Binomial Edge Ideals
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913813102592000 |
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| author | Kumar, Rajiv Kushwaha, Paramhans |
| author_facet | Kumar, Rajiv Kushwaha, Paramhans |
| contents | In this paper, we use Betti splittings of binomial edge ideals to establish improved upper and lower bounds for their regularity in the case of trees. As a consequence, we determine the exact regularity for certain classes of trees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21550 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Application of Betti Splittings to the Regularity of Binomial Edge Ideals Kumar, Rajiv Kushwaha, Paramhans Commutative Algebra 13C70 05E40, 13D02 In this paper, we use Betti splittings of binomial edge ideals to establish improved upper and lower bounds for their regularity in the case of trees. As a consequence, we determine the exact regularity for certain classes of trees. |
| title | Application of Betti Splittings to the Regularity of Binomial Edge Ideals |
| topic | Commutative Algebra 13C70 05E40, 13D02 |
| url | https://arxiv.org/abs/2504.21550 |