Communications in Algebra, ( ISI ), Volume (51), No (9), Year (2023-9) , Pages (3782-3791)

Title : ( On the strong persistence property and normality of cover ideals of theta graphs )

Authors: Ibrahim Al-Ayyoub , , Kazem Khashyarmanesh , Leslie G. Roberts ,
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Abstract

In this paper, we show that the cover ideals of theta graphs are normal squarefree 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.

Keywords

Imperfect graphs; normal ideals; strong persistence property; theta graphs