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 n and convex polytope n . [ABSTRACT FROM AUTHOR]