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Research Article | Open Access

Algebraic invariants of edge ideals of some bristled circulant graphs

Ibad Ur Rehman1, Mujahid Ullah Khan Afridi1, Muhammad Ishaq1( ), Asim Asiri2, Aftab Hussain2( )
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
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Abstract

Let S be a polynomial ring over a field K and I be the edge ideal associated with the bristled graph of some four or five regular circulant graph. We discuss the depth, projective dimension, regularity and Stanley depth of S / I.

Keywords

Stanley depthdepthregularitymonomial idealprojective dimensionbristled graph
CLC number: 05C38, 05E99, 13C15, 13F20

References

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 11330-11348
DOI: 10.3934/math.2025515

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Cite this article:
Rehman IU, Khan Afridi MU, Ishaq M, et al. Algebraic invariants of edge ideals of some bristled circulant graphs. AIMS Mathematics, 2025, 10(5): 11330-11348. https://doi.org/10.3934/math.2025515

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Received: 14 February 2025
Revised: 23 April 2025
Accepted: 09 May 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)