The strong metric dimension of the power graph of a finite group

TL;DR

This paper investigates the strong metric dimension of power graphs derived from finite groups, providing characterizations and explicit calculations for various group classes.

Contribution

It offers a new characterization of the strong metric dimension for power graphs of finite groups and computes it for several specific group types.

Findings

Strong metric dimension characterized for power graphs of finite groups

Explicit calculations for cyclic, abelian, dihedral, and quaternion groups

Provides a foundation for analyzing metric properties of group-based graphs

Abstract

We characterize the strong metric dimension of the power graph of a finite group. As applications, we compute the strong metric dimension of the power graph of a cyclic group, an abelian group, a dihedral group or a generalized quaternion group.