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The v-Number of Binomial Edge Ideals

open access: yesActa Mathematica Vietnamica
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Indranath Sengupta, Kamalesh Saha
exaly   +3 more sources

A study on binomial edge ideals [PDF]

open access: yes, 2021
In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gröber basis and minimal primary decompositions. Moreover, we also give an overview of recent results related to the depth, betti numbers, and regularity of binomial edge ideals arising from di erent classes of simple graphs.
Atar, Büşra
core   +3 more sources

Sequentially Cohen–Macaulay binomial edge ideals of closed graphs [PDF]

open access: yesResearch in Mathematical Sciences, 2022
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 ...
Viviana Ene   +2 more
exaly   +2 more sources

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