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An algorithm for testing planarity of hierarchical graphs

  • G.Di Battista
  • E. Nardelli
Specific Problems
Part of the Lecture Notes in Computer Science book series (LNCS, volume 246)

Abstract

An algorithm for k-line planarity testing of hierarchical graphs is described. If the graph is k-line planar the algorithm produces the corresponding embedding. The algorithm has time complexity O(∣V∣). Furthermore some forbidden patterns are identified, whose existence is necessary and sufficient for a hierarchical graph to be not k-line planar.

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References

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  5. J.N.Warfield — Crossing Theory and Hierarchy Mapping. IEEE Transactions on Systems, Man, and Cybernetics, vol.SMC-7, no.7, July 1977.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1987

Authors and Affiliations

  • G.Di Battista
    • 1
  • E. Nardelli
    • 1
  1. 1.Dipartimento di Informatica e SistemisticaUniversita' di RomaRomaItaly

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