On the equidistant dimension of the generalized edge Corona product of graphs

Abstract

In this work, we investigate the equidistant dimension problem of generalized edge corona product of graphs. We establish general bounds in terms of the parameters of a graph $G$ and the associated attached graphs, and identify families of graphs for which these bounds are attained. Exact values are obtained for several important classes, including paths, cycles, complete graphs, and complete bipartite graphs.