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arXiv · 2209.12182

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

Marie Amalore Nambi·Neeraj Kumar
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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.

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Marie Amalore Nambi, Neeraj Kumar. 2022-09-25. Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs. https://doi.org/10.1080/00927872.2024.2302101

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