Article ID Journal Published Year Pages File Type
4653204 European Journal of Combinatorics 2017 5 Pages PDF
Abstract

In 2015, Bau and Dankelmann showed that every bridgeless graph GG of order nn and minimum degree δδ has an orientation of diameter at most 11nδ+1+9. As they were convinced that this bound is not best possible, they posed the problem of improving it.In this paper, we prove that such a graph GG has an orientation of diameter less than 7nδ+1 and give a polynomial-time algorithm to construct one.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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