Abdul Shakeel2025-11-192025-11-192019-03-07https://escholar.umt.edu.pk/handle/123456789/10739Let G be a connected graph with vertex set V(G) and edge set E(G). The set W⊆V(G) is a local metric set of G if r(y∣W)r(z∣W), where y,z∈V(G) and y,z are two adjacent vertices. The set W with minimum cardinality is a local metric set of G, and the cardinality of this set is the local metric dimension of G. In this thesis, we computed the local metric dimension of convex polytopes and some convex polytopes with pendant edges.enThesis