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Transformations for maximal planar graphs with minimum degree five

Short paper
  • Jean Hardouin Duparc
  • Philippe Rolland
Session 6B: Combinatorics
Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)

Abstract

In this paper, we present some results on maximal planar graphs with minimum degree five, denoted by MPG5 graphs [4]. We describe a method to generate the MPG5 graphs with n fixed vertices. We prove that this proceed can produce all MPG5 graphs.

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References

  1. 1.
    D. Avis. Generating rooted triangulations without repetitions. Technical Report SOCS-94.2, Mc Gill Montreal, 1994.Google Scholar
  2. 2.
    D. Avis and K. Fukuda. Reverse search for enumeration. Technical Report 92-5, University of Tsukuba, 1994.Google Scholar
  3. 3.
    G. Marble D.W.Matula and J.D. Isaacson. Graph coloring algorithms. In R. C. Read, Graph Theory and Computing, Academic Press, New York, pages 108–122, 1972.Google Scholar
  4. 4.
    C.A. Morgenstern and H.D. Shapiro. Heuristics for Rapidly Four-Coloring Large Planar Graphs, pages 869–891. Algorithmica. Springer-Verlag New York, 1991.Google Scholar
  5. 5.
    Oystein Ore. The four-color problem. Academic Press, 1967.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Jean Hardouin Duparc
    • 1
  • Philippe Rolland
    • 1
  1. 1.IRIN Université de NantesNantes cedex 03France

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