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Graphs and Combinatorics

, Volume 18, Issue 3, pp 499–506 | Cite as

Almost Minimum Diameter Orientations of Semicomplete Multipartite and Extended Digraphs

  • Gregory Gutin
  • Khee Meng Koh
  • Eng Guan Tay
  • Anders Yeo

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 xy and yx 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.

Keywords

Undirected Graph Minimum Diameter Span Subdigraph Diameter Orientation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Tokyo 2002

Authors and Affiliations

  • Gregory Gutin
    • 1
  • Khee Meng Koh
    • 2
  • Eng Guan Tay
    • 3
  • Anders Yeo
    • 4
  1. 1.Department of Computer Science, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK. e-mail: gutinGB
  2. 2.Department of Mathematics, National University of Singapore, 119260 Singapore e-mail: matkohkm@nus.edu.sgSG
  3. 3.Mathematics and Mathematics Education Group, Nanyang Technological University, 259756 Singapore. e-mail: egtay@nie.edu.sgSG
  4. 4.Department of Computer Science, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK. e-mail: anders@cs.rhul.ac.ukGB

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