Tolerance Graphs

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Hardcover | 26 May 2004

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278 Pages

Dimensions(cm)
22.86 x 15.24 x 1.75

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study of tolerance graphs and related topics, indeed the authors have included proofs of major results previously unpublished in book form.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

Industry 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.' Zentralblatt MATH

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Introduction
Early work on tolerance graphs
Trees, cotrees and bipartite graphs
Interval probe graphs
Bitolerance graphs and ordered sets
Unit and 50% tolerance graphs
Comparability and invariance results
Bounded bitolerance recognition
Algorithms on tolerance graphs
The hierarchy of bitolerance orders
Tolerance models on trees
Phi-tolerance models
Directed tolerance graphs
Open questions and further directions
Table of Contents provided by Publisher. All Rights Reserved.

Tolerance Graphs

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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