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The asymptotic maximum oriented diameter of graphs

Ai, Jiangdong et al.
arXiv (All) · Papers
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combinatorics
The oriented diameter of a connected bridgeless graph is the minimum diameter of a strong orientation. Let $f(d)$ be the maximum oriented diameter among all such graphs of diameter $d$. In 1978, Chvátal and Thomassen proved $f(d)\le2d^2+2d$ and constructed graphs showing that any quadratic upper bou
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