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A minimum metric basis is a minimum set W of vertices of a graph G(V, E) such that for every pair of vertices u and v of G, there exists a vertex w ∈ W with the condition that the length of a shortest path from u to w is different from the length of a shortest path from v to w. The honeycomb and hexagonal networks are popular mesh-derived parallel… (More)

Let M = {v 1 , v 2 ... v ℓ } be an ordered set of vertices in a graph G. Then is called the M-location of a vertex u of G. The set M is called a locating set if the vertices of G have distinct M-locations. A minimum locating set is a set M with minimum cardinality. The cardinality of a minimum locating set of G is called Location Number L(G). This concept… (More)

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