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Orientations of graphs minimizing the radius or the diameter. (English) Zbl 0613.05035

It is found an orientation of any complete bipartite graph which has the smallest diameter. Then an orientation of the product of two graphs with radius at least 2 which has the same radius as the original graph is constructed.

MSC:

05C38 Paths and cycles
05C99 Graph theory
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References:

[1] BOESCH F., TINDELL R.: Robbins’s theorem for mixed multigraphs. Amer. math. Monthly 87, 1980, 716-719. · Zbl 0453.05026 · doi:10.2307/2321858
[2] PLESNÍK J.: Remarks od diameters of orientations of graphs. Acta Math. Univ. Comen., to appear. · Zbl 0613.05024
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