TY - JOUR
ID - 3103
TI - FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - S. Akhila, Mohan
AU - Manilal, Karunakaran
AD - Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, India.
Y1 - 2024
PY - 2024
VL -
IS -
SP -
EP -
KW - Annihilator graph
KW - fault-tolerant metric dimension
KW - Metric dimension
DO - 10.22044/jas.2023.12666.1690
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_3103.html
L1 - https://jas.shahroodut.ac.ir/article_3103_70aa6354b888a9a0615d51314c82f5ce.pdf
ER -