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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.Read more
- 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
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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- 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
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.
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