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

2016/07/01 by Ma, Xuanlong, Feng, Min, Wang, Kaishun
#05C25 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.00257

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.

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• Power Graph and Exchange Property for Resolving Sets
• On the power graph of a finite group
• Power Graphs of Finite Group
• Enhanced Power Graph of Certain Non-abelian Groups