@article {
author = {S. Akhila, Mohan and Manilal, Karunakaran},
title = {FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS},
journal = {Journal of Algebraic Systems},
volume = {},
number = {},
pages = {-},
year = {2024},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2023.12666.1690},
abstract = {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.},
keywords = {Annihilator graph,fault-tolerant metric dimension,Metric dimension},
url = {https://jas.shahroodut.ac.ir/article_3103.html},
eprint = {https://jas.shahroodut.ac.ir/article_3103_70aa6354b888a9a0615d51314c82f5ce.pdf}
}