Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs

Let <i>Q</i> be a polynomial ring over a field <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>F</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>I</mml:mi></mml:math> be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Q</mml:mi> <mml:mo>/</mml:mo> <mml:mi>I</mml:mi></mml:math> .

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Publication Details

Journal
Heliyon
Published
2025-01-01
DOI
https://doi.org/10.1016/j.heliyon.2025.e41783
Citations
1
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
5.38
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article

Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs

Muhammad Ishaq, Ibad Ur Rehman, Mujahid Ullah Khan Afridi
1 citations
Heliyon
Commutative Algebra and Its Applications
5.38
article

Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs

Muhammad Ishaq, Ibad Ur Rehman, Mujahid Ullah Khan Afridi
article en
1 citations

Abstract

Let <i>Q</i> be a polynomial ring over a field <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>F</mml:mi></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>I</mml:mi></mml:math> be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Q</mml:mi> <mml:mo>/</mml:mo> <mml:mi>I</mml:mi></mml:math> .

HeliyonVol. 11(2)
National University of Sciences and Technology (PK)
Openalex Percentile: Top 11%
Commutative Algebra and Its Applications
5.38
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