Analytic spread 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_ | 1866909829539299328 |
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| author | Camps-Moreno, Eduardo Dey, Deblina Dey, Souvik Ha, Tai Huy Landsittel, Stephen Oltsik, Benjamin Zamir, Shahriyar Roshan Van Tuyl, Adam |
| author_facet | Camps-Moreno, Eduardo Dey, Deblina Dey, Souvik Ha, Tai Huy Landsittel, Stephen Oltsik, Benjamin Zamir, Shahriyar Roshan Van Tuyl, Adam |
| contents | We investigate the analytic spread of binomial edge ideals of finite simple graphs. We provide tight bounds for this invariant in general. For special families of graphs (e.g., closed graphs, pseudo-forests), we compute the exact value for the analytic spread of the corresponding binomial edge ideals via combinatorial and convex geometric means. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05915 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic spread of binomial edge ideals Camps-Moreno, Eduardo Dey, Deblina Dey, Souvik Ha, Tai Huy Landsittel, Stephen Oltsik, Benjamin Zamir, Shahriyar Roshan Van Tuyl, Adam Commutative Algebra Combinatorics 13F65, 13A30, 05E40, 14M25 We investigate the analytic spread of binomial edge ideals of finite simple graphs. We provide tight bounds for this invariant in general. For special families of graphs (e.g., closed graphs, pseudo-forests), we compute the exact value for the analytic spread of the corresponding binomial edge ideals via combinatorial and convex geometric means. |
| title | Analytic spread of binomial edge ideals |
| topic | Commutative Algebra Combinatorics 13F65, 13A30, 05E40, 14M25 |
| url | https://arxiv.org/abs/2510.05915 |