The local (adjacency) metric dimension of split related complete graph

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Abstract

Let G be a simple graph. A set of vertices, called V (G) and a set of edges, called E(G) are two sets which form graph G. W is a local adjacency resolving set of G if for every two distinct vertices x, y and x adjacent with y then . A minimum local adjacency resolving set in G is called local adjacency metric basis. The cardinality of vertices in the basis is a local adjacency metric dimension of G (dimA,l (G)). We present the exact value of local adjacency metric dimension of m-splitting complete and bipartite graphs.

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Albirri, E. R., Dafik, Agustin, I. H., Adawiyah, R., Alfarisi, R., & Prihandini, R. M. (2019). The local (adjacency) metric dimension of split related complete graph. In Journal of Physics: Conference Series (Vol. 1211). Institute of Physics Publishing. https://doi.org/10.1088/1742-6596/1211/1/012015

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