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  3. Tolerance Graphs
  • Cited by 67
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2009
      February 2004
      ISBN:
      9780511542985
      9780521827584
      DOI:
      https://doi.org/10.1017/CBO9780511542985
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.54kg, 278 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding
      Series:
      Cambridge Studies in Advanced Mathematics (89)
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    Subjects:
    Mathematics (general), Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding
    Series:
    Cambridge Studies in Advanced Mathematics (89)
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    Book description

    The study of algorithmic graph theory and structured families of graphs is an important branch of discrete mathematics. It finds numerous applications, from data transmission through networks to efficiently scheduling aircraft and crews, as well as contributing to breakthroughs in genetic analysis and studies of the brain. Especially important have been the theory and applications of new intersection graph models such as generalizations of permutation graphs and interval graphs. One of these is the study of tolerance graphs and tolerance orders. This book contains the first thorough study of tolerance graphs and related topics, indeed the authors have included proofs of major results previously unpublished in book form. It will act as a springboard for researchers, and especially graduate students, to pursue new directions of investigation. With many examples and exercises it is also suitable for use as the text for a graduate course in graph theory.

    Reviews

    ' … great value to researchers in the field, and it can also be used as a graduate text in graph theory, since many examples and exercises have been included.'

    Source: Zentralblatt MATH

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