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Research Article | Open Access

Algebraic invariants of edge ideals of some circulant graphs

Bakhtawar Shaukat, Muhammad Ishaq( ), Ahtsham Ul Haq
Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan
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Abstract

Let S be a polynomial ring over a field and I be an edge ideal associated with some classes of circulant graphs. We discussed the algebraic invariants, namely, regularity, projective dimension, depth, and the Stanley depth of S / I .

Keywords

monomial idealregularityprojective dimensiondepthStanley depthcirculant graphs
CLC number: Primary 13C15; Secondary 13P10, 13F20

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AIMS Mathematics
Volume 9 Issue 1,
January 2024
Pages 868-895
DOI: 10.3934/math.2024044

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Cite this article:
Shaukat B, Ishaq M, Ul Haq A. Algebraic invariants of edge ideals of some circulant graphs. AIMS Mathematics, 2024, 9(1): 868-895. https://doi.org/10.3934/math.2024044

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Received: 16 August 2023
Revised: 22 November 2023
Accepted: 28 November 2023
Published: 15 January 2024
©2024 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)