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

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.

To appear in Journal of Algebra and Its Applications

References in corpus (1)

• Powers of binomial edge ideals with quadratic Gröbner bases

Cited by in corpus (2)

• Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs
• (Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers