4 papers
Inclusion graph of annihilators in a commutative ring
Hana Safari, Farzad Shaveisi, Reza Nikandish
Let be a commutative ring with identity, and let be the set of zero-divisors of . The inclusion graph of annihilators in , denoted by , is a graph w…
On the structure of the power graph and the enhanced power graph of a group
Ghodratollah Aalipour, Saieed Akbari, Peter J. Cameron +2
Let be a group. The \emph{power graph} of is a graph with the vertex set , having an edge between two elements whenever one is a power of the other. We characterize nilp…
The Center and Radius of the Regular Graph of Ideals
Farzad Shaveisi
The regular graph of ideals of the commutative ring , denoted by , is a graph whose vertex set is the set of all non-trivial ideals of and two distinct vertice…
The coloring of the regular graph of ideals
Farzad Shaveisi
The regular graph of ideals of the commutative ring , denoted by , is a graph whose vertex set is the set of all non-trivial ideals of and two distinct vertices…