On the regularity of binomial edge ideals

By Viviana Ene, Andrei Zarojanu. 2013

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We study the regularity of binomial edge ideals. For a closed graph G we show that the regularity of the binomial edge ideal JG coincides with the regularity of in lex (JG) 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9c71f089782e7ad82801d3eab56b428abfbe3457