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Identifying codes of lexicographic product of graphs

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arxiv 1106.3607 v1 pith:MSEWTUHT submitted 2011-06-18 math.CO

Identifying codes of lexicographic product of graphs

classification math.CO
keywords codesidentifyingproductgraphgraphslexicographicarbitrarycardinality
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Gravier et al. investigated the identifying codes of Cartesian product of two graphs. In this paper we consider the identifying codes of lexicographic product G[H] of a connected graph G and an arbitrary graph H, and obtain the minimum cardinality of identifying codes of G[H] in terms of some parameters of G and H.

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