Title of article :
Commutative rings introduce a class of identifiable graphs
Author/Authors :
Nikandish ، Reza Department of Mathematics - Jundi-Shapur University of Technology , Korehpaz ، Asma Department of Mathematics - Jundi-Shapur University of Technology , Khaninasab ، Omid Department of Mathematics - Jundi-Shapur University of Technology
Abstract :
Let R be a commutative ring with identity, and A(R) be the set of ideals with non-zero annihilator. The annihilating-ideal graph of R is defined as the graph AG(R) with the vertex set A(R)∗ = A(R)\{0} and two distinct vertices I and J are adjacent if and only if IJ = 0. In this paper, we characterize all positive integers n for which AG(Zn) is identifiable.
Keywords :
Annihilating , ideal graph , Identifying code , Identifiable Graph
Journal title :
Transactions on Combinatorics
Journal title :
Transactions on Combinatorics
