Mixed metric dimension over (edge) corona products

Abstract

A subset S of V(G) is called a mixed resolving set for G if, for every two distinct elements x and y of V ( G )∪ E ( G ) , there exists v ∈ S such that d ( v , x )≠ d ( v , y ) . The mixed metric dimension of G, denoted by dim m ( G ) , is the minimum cardinality of a mixed resolving set in G. In this paper, a closed formula for the mixed metric dimension of corona product of graphs is proved. Also, a sharp upper bound and a closed formula for the mixed metric dimension of edge corona product of graphs is presented.