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1Mathematisches Institut [Bayreuth] (University of Bayreuth Faculty of Mathematics, Physics and Computer Science Mathematical Institute D-95440 Bayreuth Germany - Germany)
Abstract : We consider the problem of determining an orientation with minimum diameter MOD(G) of a connected and bridge-less graph G. In 2001 Fomin et al. discovered the relation MOD(G) <= 9 gamma(G) - 5 between the minimum oriented diameter and the size gamma(G) of a minimum dominating set. We improve their upper bound to MOD(G) <= 4 gamma(G).