On the regularity of binomial edge ideals

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 Ma...

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Bibliographic Details
Published in:arXiv.org 2013-07
Main Authors: Ene, Viviana, Zarojanu, Andrei
Format: Article
Language:English
Subjects:
Combinatorial analysis
Regularity
Online Access:Get full text
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Summary: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.
ISSN:2331-8422