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Tolerance graphs and orders

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Graph-Theoretic Concepts in Computer Science (WG 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 657))

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Abstract

We show that a tolerance graph that is the complement of a comparability graph is a trapezoid graph, i.e., the complement of an order of interval dimension at most 2. As consequences we are able to give obstructions for the class of bounded tolerance graphs and to give an example of a graph which is alternatingly orientable but not a tolerance graph. We also characterize the tolerance graphs among the complements of trees

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References

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Authors and Affiliations

  1. Technische Universität Berlin, Deutschland

    Stefan Felsner

Authors
  1. Stefan Felsner
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Ernst W. Mayr

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© 1993 Springer-Verlag Berlin Heidelberg

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Felsner, S. (1993). Tolerance graphs and orders. In: Mayr, E.W. (eds) Graph-Theoretic Concepts in Computer Science. WG 1992. Lecture Notes in Computer Science, vol 657. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56402-0_32

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  • DOI: https://doi.org/10.1007/3-540-56402-0_32

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56402-7

  • Online ISBN: 978-3-540-47554-5

  • eBook Packages: Springer Book Archive

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