The metric dimension of cyclic hexagonal chain honeycomb triangular mesh and pencil graphs

The metric dimension of a graph serves a fundamental role in organizing structures of varying dimensions and establishing their foundations through diverse perspectives. Studying symmetric network characteristics like connectedness, diameter, vertex centrality, and complexity depends heavily on the distance parameter. In this article, we explore the exact value for different hexagonal networks' metric dimensions, such as cyclic hexagonal chains, triangular honeycomb mesh, and pencil graphs.