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

Fuente: arXiv
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Main Authors: Nambi, Marie Amalore, Kumar, Neeraj
Format: Preprint
Published: 2022
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author Nambi, Marie Amalore
Kumar, Neeraj
author_facet Nambi, Marie Amalore
Kumar, Neeraj
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2209_12182
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs
Nambi, Marie Amalore
Kumar, Neeraj
Commutative Algebra
Combinatorics
05E40, 13D02
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.
title Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs
topic Commutative Algebra
Combinatorics
05E40, 13D02
url https://arxiv.org/abs/2209.12182