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arXiv · 1506.01362

Some Cohen-Macaulay and unmixed binomial edge ideals

Dariush Kiani·Sara Saeedi Madani
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Abstract

We study unmixed and Cohen-Macaulay properties of the binomial edge ideal of some classes of graphs. We compute the depth of the binomial edge ideal of a generalized block graph. We also characterize all generalized block graphs whose binomial edge ideals are Cohen-Macaulay and unmixed. So that we generalize the results of Ene, Herzog and Hibi on block graphs. Moreover, we study unmixedness and Cohen-Macaulayness of the binomial edge ideal of some graph products such as the join and corona of two graphs with respect to the original graphs'.

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Dariush Kiani, Sara Saeedi Madani. 2015-06-03. Some Cohen-Macaulay and unmixed binomial edge ideals. https://arxiv.org/abs/1506.01362

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