The metric dimension of the annihilating-ideal graph of a finite commutative ring

Authors

  • D. Dolzan University of Ljibljana

Keywords:

finite ring, metric dimension, annihilating-ideal graph

Abstract

We determine the metric dimension of the annihilating-ideal graph of a local finite commutative principal ring and a finite commutative principal ring with two maximal ideals. We also find the bounds for the metric dimension of the annihilating-ideal graph of an arbitrary finite commutative principal ring.

http://dx.doi.org/10.1017/S0004972712000330

Published

2021-05-25

Issue

Section

Articles