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Almost Minimum Diameter Orientations of Semicomplete Multipartite and Extended Digraphs

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Abstract.

 An orientation of a digraph D is a spanning subdigraph of D obtained from D by deleting exactly one arc between x and y for every pair xy of vertices such that both x y and y x are in D. Almost minimum diameter orientations of certain semicomplete multipartite and extended digraphs are considered, several generalizations of results on orientations of undirected graphs are obtained, some conjectures are posed.

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Received: August 31, 2000 Final version received: October 30, 2001

Acknowledgments. Part of this work was done when the first author was visiting the Department of Mathematics, National University of Singapore. The departmental hospitality and financial support are very much appreciated.

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Gutin, G., Koh, K., Tay, E. et al. Almost Minimum Diameter Orientations of Semicomplete Multipartite and Extended Digraphs. Graphs Comb 18, 499–506 (2002). https://doi.org/10.1007/s003730200036

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  • DOI: https://doi.org/10.1007/s003730200036

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