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arXiv · 2601.10842

Linear strands of powers of certain binomial edge ideals

Abbas Dohadwala·Bryan Flores-Silva·Alicia Orozco-Moya·Zoe Siegelnickel
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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.

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Abbas Dohadwala, Bryan Flores-Silva, Alicia Orozco-Moya, Zoe Siegelnickel. 2026-01-15. Linear strands of powers of certain binomial edge ideals. https://arxiv.org/abs/2601.10842

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