Article ID Journal Published Year Pages File Type
4655152 Journal of Combinatorial Theory, Series A 2016 7 Pages PDF
Abstract

We prove a conjectured upper bound for the Castelnuovo–Mumford regularity of binomial edge ideals of graphs, due to Matsuda and Murai. Indeed, we prove that reg(JG)≤n−1reg(JG)≤n−1 for any graph G with n vertices, which is not a path.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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