Tolerance Graphs
eBook - PDF

Tolerance Graphs

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

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study of tolerance graphs and related topics, indeed the authors have included proofs of major results previously unpublished in book form.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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Yes, you can access Tolerance Graphs by Martin Charles Golumbic,Ann N. Trenk in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series-title
  4. Title
  5. Copyright
  6. Dedication
  7. Contents
  8. Chapter 1 Introduction
  9. Chapter 2 Early work on tolerance graphs
  10. Chapter 3 Trees, cotrees and bipartite graphs
  11. Chapter 4 Interval probe graphs and sandwich problems
  12. Chapter 5 Bitolerance and the ordered sets perspective
  13. Chapter 6 Unit and 50% tolerance orders
  14. Chapter 7 Comparability invariance results
  15. Chapter 8 Recognition of bounded bitolerance orders and trapezoid graphs
  16. Chapter 9 Algorithms on tolerance graphs
  17. Chapter 10 The hierarchy of classes of bounded bitolerance orders
  18. Chapter 11 Tolerance models of paths and subtrees of a tree
  19. Chapter 12 phi-tolerance graphs
  20. Chapter 13 Directed tolerance graphs
  21. Chapter 14 Open questions and further directions of research
  22. References
  23. Index of symbols
  24. Index