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Diameter of orientations of graphs with given minimum degree
Institution:1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, South Africa;2. Department of Pure and Applied Mathematics, University of Johannesburg, Johannesburg, South Africa
Abstract:We show that every bridgeless graph of order n and minimum degree δ has a strongly connected orientation of diameter at most 11δ+1n+9, and such an orientation can be found in polynomial time.
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