Abstract:An orientation of an undirected graph G is an assignment of exactly one direction to each edge of G. The oriented diameter of a graph G is the smallest diameter among all the orientations of G. The maximum oriented diameter of a family of graphs F is the maximum oriented diameter among all the graphs in F . Chvátal and Thomassen [JCTB, 1978] gave a lower bound of 1 2 d 2 + d and an upper bound of 2d 2 + 2d for the maximum oriented diameter of the family of 2-edge connected graphs of diameter d. We improve thi… Show more
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