
- English
- PDF
- Available on iOS & Android
Tolerance Graphs
About this book
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study of tolerance graphs and related topics, indeed the authors have included proofs of major results previously unpublished in book form.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.
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Information
Table of contents
- Cover
- Half-title
- Series-title
- Title
- Copyright
- Dedication
- Contents
- Chapter 1 Introduction
- Chapter 2 Early work on tolerance graphs
- Chapter 3 Trees, cotrees and bipartite graphs
- Chapter 4 Interval probe graphs and sandwich problems
- Chapter 5 Bitolerance and the ordered sets perspective
- Chapter 6 Unit and 50% tolerance orders
- Chapter 7 Comparability invariance results
- Chapter 8 Recognition of bounded bitolerance orders and trapezoid graphs
- Chapter 9 Algorithms on tolerance graphs
- Chapter 10 The hierarchy of classes of bounded bitolerance orders
- Chapter 11 Tolerance models of paths and subtrees of a tree
- Chapter 12 phi-tolerance graphs
- Chapter 13 Directed tolerance graphs
- Chapter 14 Open questions and further directions of research
- References
- Index of symbols
- Index