%0 Journal Article
%T FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A S. Akhila, Mohan
%A Manilal, Karunakaran
%D 2024
%\ 04/09/2024
%V
%N
%P -
%! FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS
%K Annihilator graph
%K fault-tolerant metric dimension
%K Metric dimension
%R 10.22044/jas.2023.12666.1690
%X Let R be a commutative ring with identity. The annihilator graph AG (R) is a simple graph with vertex set as the set of all non-zero zero-divisors of R, and two distinct vertices a and b are adjacent if and only if annR (a) ∪ annR (b) ̸= annR (a · b). We depicted the relationship between the fault-tolerant metric dimension of AG (R) and some graph parameters. Furthermore, we computed the fault-tolerant metric dimension of the annihilator graph of reduced and non-reduced rings.
%U https://jas.shahroodut.ac.ir/article_3103_70aa6354b888a9a0615d51314c82f5ce.pdf