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An algorithm for testing planarity of hierarchical graphs

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Graph-Theoretic Concepts in Computer Science (WG 1986)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 246))

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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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Gottfried Tinhofer Gunther Schmidt

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© 1987 Springer-Verlag Berlin Heidelberg

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Battista, G., Nardelli, E. (1987). An algorithm for testing planarity of hierarchical graphs. In: Tinhofer, G., Schmidt, G. (eds) Graph-Theoretic Concepts in Computer Science. WG 1986. Lecture Notes in Computer Science, vol 246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17218-1_65

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  • DOI: https://doi.org/10.1007/3-540-17218-1_65

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17218-5

  • Online ISBN: 978-3-540-47415-9

  • eBook Packages: Springer Book Archive

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