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  3. Tolerance Graphs
  • Cited by 67
Publisher:
Cambridge University Press
Online publication date:
August 2009
Print publication year:
2004
Online ISBN:
9780511542985
DOI:
https://doi.org/10.1017/CBO9780511542985
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding
Series:
Cambridge Studies in Advanced Mathematics (89)
Information

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study of tolerance graphs and related topics, indeed the authors have included proofs of major results previously unpublished in book form.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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