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arXiv · 2209.07218

D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees

Marie Amalore Nambi·Neeraj Kumar
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Abstract

We provide the necessary and sufficient conditions for the edge-binomials of the tree forming a $d$-sequence in terms of the degree sequence notion of a graph. We study the regularity of powers of the binomial edge ideals of trees generated by $d$-sequence edge binomials.

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Marie Amalore Nambi, Neeraj Kumar. 2022-09-15. D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees. https://doi.org/10.1142/s0219498824501548

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