Mixed metric dimension of some plane graphs

Let G be a finite undirected simple connected graph with vertex set V(G) and edge set E(G). A vertex u ? V(G) resolves two elements (vertices or edges) v, w ? V(G) ? E(G) if d(u, v) ? d(u, w). A subset S-m of vertices in G is called a mixed metric generator for G if every two distinct elements (vertices and edges) of G are resolved by some vertices of S-m. The minimum cardinality of a mixed metric generator for G is called the mixed metric dimension and is denoted by dim(m)(G). In this paper, we study the mixed metric dimension for the plane graph of web graph W-n and convex polytope D-n.