Abstract
Let G be a finite group. The order supergraph of G is the graph with vertex set G, and two distinct vertices x, y are adjacent if or
The enhanced power graph of G is the graph whose vertex set is G, and two distinct vertices are adjacent if they generate a cyclic subgroup. The reduced power graph of G is the graph with vertex set G, and two distinct vertices x, y are adjacent if
or
In this article, we characterize the strong metric dimension of the order supergraph, the enhanced power graph and the reduced power graph of a finite group.
Acknowledgment
We are grateful to the anonymous referee for careful reading and helpful comments.