Monomial Ideals of VEW Graphs

Let D be a k-edge weighted VEW graph and I = I (D) be its edge ideal. In this paper, we characterize the irredundant irreducible decomposition of edge ideal I. Also, we study the Cohen-Macaulay property and Castelnuovo-Mumford regularity of different classes of k-edge weighted VEW graphs.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-09-04
DOI
https://doi.org/10.1142/s0219498828500478
Primary Topic
Commutative Algebra and Its Applications
Type
article
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article

Monomial Ideals of VEW Graphs

Dipak Kumar Pradhan, Manohar Kumar
Journal of Algebra and Its Applications
Commutative Algebra and Its Applications
article

Monomial Ideals of VEW Graphs

Dipak Kumar Pradhan, Manohar Kumar
article en

Abstract

Let D be a k-edge weighted VEW graph and I = I (D) be its edge ideal. In this paper, we characterize the irredundant irreducible decomposition of edge ideal I. Also, we study the Cohen-Macaulay property and Castelnuovo-Mumford regularity of different classes of k-edge weighted VEW graphs.

Journal of Algebra and Its Applications
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Commutative Algebra and Its Applications
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