Algorithmic Graph Theory and Perfect Graphs
eBook - PDF

Algorithmic Graph Theory and Perfect Graphs

  1. 306 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algorithmic Graph Theory and Perfect Graphs

About this book

Algorithmic Graph Theory and Perfect Graphs provides an introduction to graph theory through practical problems. This book presents the mathematical and algorithmic properties of special classes of perfect graphs. Organized into 12 chapters, this book begins with an overview of the graph theoretic notions and the algorithmic design. This text then examines the complexity analysis of computer algorithm and explains the differences between computability and computational complexity. Other chapters consider the parameters and properties of a perfect graph and explore the class of perfect graphs known as comparability graph or transitively orientable graphs. This book discusses as well the two characterizations of triangulated graphs, one algorithmic and the other graph theoretic. The final chapter deals with the method of performing Gaussian elimination on a sparse matrix wherein an arbitrary choice of pivots may result in the filling of some zero positions with nonzeros. This book is a valuable resource for mathematicians and computer scientists.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9780122892608
eBook ISBN
9781483271972
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Algorithmic Graph Theory and Perfect Graphs
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Foreword
  7. Preface
  8. Acknowledgments
  9. List of Symbols
  10. Chapter 1. Graph Theoretic Foundations
  11. Chapter 2. The Design of Efficient Algorithms
  12. Chapter 3. Perfect Graphs
  13. Chapter 4. Triangulated Graphs
  14. Chapter 5. Comparability Graphs
  15. Chapter 6. Split Graphs
  16. Chapter 7. Permutation Graphs
  17. Chapter 8. Interval Graphs
  18. Chapter 9. Superperfect Graphs
  19. Chapter 10. Threshold Graphs
  20. Chapter 11. Not So Perfect Graphs
  21. Chapter 12. Perfect Gaussian Elimination
  22. Appendix
  23. Index

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Yes, you can access Algorithmic Graph Theory and Perfect Graphs by Martin Charles Golumbic, Werner Rheinboldt in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.