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 [Formula: see text], there exists [Formula: see text] such that [Formula: see text]. The mixed metric dimension of G, denoted by [Formula: see text], 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.

Keywords

• Metric dimension
• mixed metric dimension
• corona product
• edge corona product
• 05C12
• 05C76