Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs

Abstract

We classify all unicycle graphs whose edge-binomials form a $d$-sequence, particularly linear type binomial edge ideals. We also classify unicycle graphs whose parity edge-binomials form a $d$-sequence. We study the regularity of powers of (parity) binomial edge ideals of unicycle graphs generated by $d$-sequence (parity) edge-binomials.

To appear in Communications in Algebra

References in corpus (5)

• Regularity of powers of quadratic sequences with applications to binomial ideals
• Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs
• Powers of binomial edge ideals with quadratic Gröbner bases
• Regularity of parity binomial edge ideals
• D-Sequence Edge Binomials, and Regularity of Powers of Binomial Edge Ideals of Trees

Cited by in corpus (1)

• (Almost) Complete Intersection Lovász-Saks-Schrijver ideals and regularity of their powers