D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees
Commutative Algebra
2023-05-19 v4 Combinatorics
Abstract
We provide the necessary and sufficient conditions for the edge-binomials of the tree forming a -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 -sequence edge binomials.
Keywords
Cite
@article{arxiv.2209.07218,
title = {D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees},
author = {Marie Amalore Nambi and Neeraj Kumar},
journal= {arXiv preprint arXiv:2209.07218},
year = {2023}
}
Comments
To appear in Journal of Algebra and Its Applications