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Tolerance Graphs

Tolerance Graphs

$131.00 (C)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: March 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521827584

$ 131.00 (C)

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About the Authors
  • Tolerance graphs can be used to quantify the degree to which there is conflict or accord in a system and can provide solutions to questions in the form of "optimum arrangements." Arising from the authors' teaching graduate students in the U.S. and Israel, this book is intended for use in mathematics and computer science, where the subject can be applied to algorithmics. The inclusion of many exercises with partial solutions will increase the appeal of the book to instructors as well as graduate students.

    • Topic is active area of research with many exciting applications
    • Book collects major results that were previously scattered through literature
    • Numerous examples and exercises make this book ideal for a graduate course
    Read more

    Reviews & endorsements

    "Many first-rate mathematicians have contributed, making the exposition's quality high overall. Highly recommended." D.V. Feldman, University of New Hampshire, CHOICE

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    Product details

    • Date Published: March 2004
    • format: Hardback
    • isbn: 9780521827584
    • length: 278 pages
    • dimensions: 236 x 158 x 19 mm
    • weight: 0.54kg
    • contains: 75 b/w illus.
    • availability: Available
  • Table of Contents

    1. Introduction
    2. Early work on tolerance graphs
    3. Trees, cotrees and bipartite graphs
    4. Interval probe graphs
    5. Bitolerance graphs and ordered sets
    6. Unit and 50% tolerance graphs
    7. Comparability and invariance results
    8. Bounded bitolerance recognition
    9. Algorithms on tolerance graphs
    10. The hierarchy of bitolerance orders
    11. Tolerance models on trees
    12. Phi-tolerance models
    13. Directed tolerance graphs
    14. Open questions and further directions.

  • Authors

    Martin Charles Golumbic, University of Haifa, Israel

    Ann N. Trenk, Wellesley College, Massachusetts

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