Linear strands of powers of certain binomial edge ideals

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Abbas Dohadwala, Bryan Flores-Silva, Alicia Orozco-Moya, Zoe Siegelnickel
DOI: 10.48550/arxiv.2601.10842
Cited by: 0

Abstract

We provide a closed formula for the graded Betti numbers in the linear strands of all powers of binomial edge ideals $J_G$ arising from closed graphs $G$ that do not have the complete graph $K_4$ as an induced subgraph. We show that these agree with the corresponding Betti numbers for the powers of the lexicographic initial ideal of $J_G$, thereby confirming a conjecture of Ene--Rinaldo--Terai in a special case.

Fields of Study & Subjects

Commutative Algebra and Its Applications Polynomial and algebraic computation Advanced Combinatorial Mathematics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
15 January 2026
Document type
Preprint