The Metric Dimension of the Zero-Divisor Graph of a Matrix Semiring

TL;DR

This paper calculates the metric dimension of the zero-divisor graph associated with matrix semirings over a specific type of semiring, providing insights into its structural properties.

Contribution

It determines the metric dimension of the zero-divisor graph for matrix semirings over commutative entire antinegative semirings, a novel extension in algebraic graph theory.

Findings

Calculated the metric dimension for the zero-divisor graph of matrix semirings.

Extended understanding of algebraic structures through graph-theoretic properties.

Provided formulas or bounds for the metric dimension in this context.

Abstract

We determine the metric dimension of the zero-divisor graph of the matrix semiring over a commutative entire antinegative semiring.