English

Analytic spread of binomial edge ideals

Commutative Algebra 2025-10-08 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.2510.05915,
  title  = {Analytic spread of binomial edge ideals},
  author = {Eduardo Camps-Moreno and Deblina Dey and Souvik Dey and Tai Huy Ha and Stephen Landsittel and Benjamin Oltsik and Shahriyar Roshan Zamir and Adam Van Tuyl},
  journal= {arXiv preprint arXiv:2510.05915},
  year   = {2025}
}

Comments

14 pages, comments are welcome

R2 v1 2026-07-01T06:21:26.790Z