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An identifying code in a graph is a dominating set that also has the property that the closed neighborhood of each vertex in the graph has a distinct intersection with the set. The minimum cardinality of an identifying code, or ID code, in a graph G is called the ID code number of G and is denoted $$\gamma ^\mathrm{ID}(G)$$ γ ID ( G ) . In this paper, we give upper and lower bounds for...
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