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arXiv · 2112.04361

Sequentially Cohen-Macaulay binomial edge ideals of closed graphs

Viviana Ene·Giancarlo Rinaldo·Naoki Terai
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Abstract

In this paper we provide a full combinatorial characterization of sequentially Cohen-Macaulay binomial edge ideals of closed graphs. In addition, we show that a binomial edge ideal of a closed graph is approximately Cohen-Macaulay if and only if it is almost Cohen-Macaulay.

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Viviana Ene, Giancarlo Rinaldo, Naoki Terai. 2022-07-11. Sequentially Cohen-Macaulay binomial edge ideals of closed graphs. https://arxiv.org/abs/2112.04361

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