On Three Families of Graphs with Constant Metric Dimension

Abstract

A family $\mathcal{G}$ of connected graphs is a family with constant metric dimension if $\text{dim}(G)$ is finite and does not depend upon the choice of $G$ in $\mathcal{G}$. In this paper, we show that the sunlet graphs, the rising sun graphs, and the co-rising sun graphs have constant metric dimension.