On the Strong Persistence Property and Normality of Cover Ideals of Theta Graphs

Ibrahim Al-Ayyoub

doi:10.1080/00927872.2023.2188413

On the Strong Persistence Property and Normality of Cover Ideals of Theta Graphs

Ibrahim Al-Ayyoub

Sultan Qaboos University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we show that the cover ideals of theta graphs are normal square-free monomial ideals, and also satisfy the strong persistence property. Moreover, we re-prove a well-known result which is related to the cover ideals of bipartite graphs. We finally terminate this paper by stating some theorems which introduce some classes of normal monomial ideals.

Original language	English
Pages (from-to)	3782-3791
Number of pages	10
Journal	Communications in Algebra
Volume	51
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2023.2188413
Publication status	Published - Mar 20 2023

Keywords

Imperfect graphs
normal ideals
strong persistence property
theta graphs

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2023.2188413

Cite this

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abstract = "In this paper, we show that the cover ideals of theta graphs are normal square-free monomial ideals, and also satisfy the strong persistence property. Moreover, we re-prove a well-known result which is related to the cover ideals of bipartite graphs. We finally terminate this paper by stating some theorems which introduce some classes of normal monomial ideals.",

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On the Strong Persistence Property and Normality of Cover Ideals of Theta Graphs

Abstract

Keywords

ASJC Scopus subject areas

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