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• W2791803180 abstract "The metric dimension is quite a well-studied graph parameter. Recently, the local metric dimension and the adjacency dimension have been introduced and studied. In this paper, we give a general formula for the local metric dimension of the lexicographic product $$G circ mathcal {H}$$ of a connected graph G of order n and a family $$mathcal {H}$$ composed of n graphs. We show that the local metric dimension of $$G circ mathcal {H}$$ can be expressed in terms of the numbers of vertices in the true twin equivalence classes of G, and the local adjacency dimension of the graphs in $$mathcal {H}$$ ." @default.
• W2791803180 created "2018-03-29" @default.
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• W2791803180 date "2018-02-19" @default.
• W2791803180 modified "2023-10-17" @default.
• W2791803180 title "The Local Metric Dimension of the Lexicographic Product of Graphs" @default.
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• W2791803180 doi "https://doi.org/10.1007/s40840-018-0611-3" @default.
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