On the regularity of binomial edge ideals

2013/07/08 by Viviana Ene, Ene, Viviana, Andrei Zarojanu +1 · 2 citations
Computer Science · Mathematics · #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1307.2141

openalex publication_date 2013/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the regularity of binomial edge ideals. For a closed graph G we show that the regularity of the binomial edge ideal J_G coincides with the regularity of \ini_\lex(J_G) and can be expressed in terms of the combinatorial data of G. In addition, we give positive answers to Matsuda-Murai conjecture for some classes of graphs.

Cited by

• (Generalized) binomial edge ideals and their regularity
• Binomial edge ideals with pure resolutions

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