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Algorithms on block-complete graphs

  • Zhuguo Mo
  • Kenneth Williams
Track1: Graph Algorithms
Part of the Lecture Notes in Computer Science book series (LNCS, volume 507)

Abstract

Graphs whose blocks are complete subgraphs are said to be block-complete graphs. Polynomial time algorithms to solve several problems, problems which are not believed to be polynomial for general graphs, are presented for connected block-complete graphs. These include: finding a minimum vertex cover, finding a minimum dominating set of radius r, and finding a minimum m-centrix radius r augmentation.

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Bibliography

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    M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, W. H. Freeman, San Francisco (1979).Google Scholar
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    Z. Mo, Graph and Directed Graph Augmentation Problems, Doctoral Dissertation, Western Michigan University, 1988.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Zhuguo Mo
    • 1
  • Kenneth Williams
    • 2
  1. 1.Computer & Engineering Services, Inc.USA
  2. 2.Western Michigan UniversityUSA

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