Dominating ideals and closed neighborhood ideals of graphs
M Nasernejad, AA Qureshi, S Bandari… - … Journal of Mathematics, 2022 - Springer
We study the closed neighborhood ideals and the dominating ideals of graphs, in particular,
some classes of trees and cycles. We prove that the closed neighborhood ideals and the …
some classes of trees and cycles. We prove that the closed neighborhood ideals and the …
Normality of cover ideals of graphs and normality under some operations
I Al-Ayyoub, M Nasernejad, LG Roberts - Results in Mathematics, 2019 - Springer
We produce a procedure for constructing new normal monomial ideals from other ideals that
are assumed to be normal. This enables us to prove that if the cover ideal of a graph G is …
are assumed to be normal. This enables us to prove that if the cover ideal of a graph G is …
On the (strong) persistence property,(nearly) normally torsion-freeness, and normality of monomial ideals with a view toward Combinatorics
M Nasernejad - 2023 - hal.science
The main aim of this work is to study several topics in monomial ideals. Generally, monomial
ideals play a fundamental role in investigating the connection between commutative algebra …
ideals play a fundamental role in investigating the connection between commutative algebra …