Regularity of Initial Ideal of Binomial Edge Ideals in Degree 2 and Their Powers

Authors

DOI:

https://doi.org/10.37256/cm.5220243191

Keywords:

edge ideals, binomial edge ideals, Castelnuovo-Mumford regularity, polynomials ring

Abstract

In this paper, we study the Castelnuovo-Mumford regularity of the initial ideal of binomial edge ideals in degree 2 ([in<(JG)]2), and their powers for some classes of graphs. Also, we obtain a lower bound for the regularity of powers of binomial edge ideal associated to complete bipartite graphs.

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Published

2024-06-19

How to Cite

1.
Rahim BM, Saremi H, Hama MF. Regularity of Initial Ideal of Binomial Edge Ideals in Degree 2 and Their Powers. Contemp. Math. [Internet]. 2024 Jun. 19 [cited 2024 Nov. 9];5(2):1234-42. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/3191