Oriented diameter of graphs with diameter 3

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Oriented diameter of graphs with diameter 3

In 1978, Chvátal and Thomassen proved that every 2-edge-connected graph with diameter 2 has an orientation with diameter at most 6. They also gave general bounds on the smallest value f(d) such that every 2-edge-connected graph G with diameter d has an orientation with diameter at most f(d). For d = 3, their general bounds reduce to 8 ≤ f(3) ≤ 24. We improve these bounds to 9 ≤ f(3) ≤ 11.

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 2010

ISSN: 0095-8956

DOI: 10.1016/j.jctb.2009.08.003