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arXiv · 2510.05915

Analytic spread of binomial edge ideals

Eduardo Camps-Moreno·Deblina Dey·Souvik Dey·Tai Huy Ha·Stephen Landsittel·Benjamin Oltsik·Shahriyar Roshan Zamir·Adam Van Tuyl
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Abstract

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.

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Eduardo Camps-Moreno, Deblina Dey, Souvik Dey, Tai Huy Ha, Stephen Landsittel, Benjamin Oltsik, Shahriyar Roshan Zamir, Adam Van Tuyl. 2025-10-07. Analytic spread of binomial edge ideals. https://arxiv.org/abs/2510.05915

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