Sequentially Cohen-Macaulay binomial edge ideals of closed graphs

Published 8 Dec 2021 in math.AC and math.CO | (2112.04361v2)

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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