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Communications in Algebra Volume 52, 2024 - Issue 6
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Research Articles

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

Marie Amalore NambiDepartment of Mathematics, Indian Institute of Technology Hyderabad, Sangareddy, IndiaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-3910-247XView further author information
ORCID Icon &
Neeraj KumarDepartment of Mathematics, Indian Institute of Technology Hyderabad, Sangareddy, IndiaORCID Iconhttps://orcid.org/0000-0002-1144-2096View further author information
ORCID Icon
Pages 2598-2615 | Received 11 Mar 2023, Accepted 05 Dec 2023, Published online: 19 Jan 2024
 
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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.

2020 Mathematics Subject Classification:

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Funding

The first author is financially supported by the University Grant Commission, India. The second author is partially funded by MATRICS grant, project no. MTR/2020/000635, from Science and Engineering Research Board (SERB), India.

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