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Browsing MS or Mphil by Author "Abdul Shakeel"

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    Local metric dimension of convex polytopes and its modified forms
    (UMT Lahore, 2019-03-07) Abdul Shakeel
    Let 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.