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On the regularity of binomial edge ideals |
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| Authors: | Viviana Ene Andrei Zarojanu |
| Affiliation: | 1. Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania;2. Simion Stoilow Institute of Mathematics of Romanian Academy, Research Group of the Project ID‐PCE‐2011‐1023, Romania;3. Faculty of Mathematics and Computer Sciences, University of Bucharest, Bucharest, Romania |
| Abstract: | We study the regularity of binomial edge ideals. For a closed graph G we show that the regularity of the binomial edge ideal  coincides with the regularity of  and can be expressed in terms of the combinatorial data of G. In addition, we give positive answers to Matsuda‐Murai conjecture 8 for some classes of graphs. |
| Keywords: | Binomial edge ideals regularity 13D02 05E40 |