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diameter two

By  and Janja Jerebic and Janja Jerebic


The strong isometric dimension idim(G) of a graph G is the least number k such that G can be isometrically embedded into the strong product of k paths. The problem of determining idim(G) for graphs of diameter two is reduced to a covering problem of the complement of G with complete bipartite graphs. As an example it is shown that idim(P) = 5, where P is the Petersen graph.

Year: 2003
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