English

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

Commutative Algebra 2024-03-19 v2 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.2209.12182,
  title  = {Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs},
  author = {Marie Amalore Nambi and Neeraj Kumar},
  journal= {arXiv preprint arXiv:2209.12182},
  year   = {2024}
}

Comments

To appear in Communications in Algebra