Topics in Structural Graph Theory
eBook - PDF

Topics in Structural Graph Theory

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

Topics in Structural Graph Theory

About this book

The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

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Yes, you can access Topics in Structural Graph Theory by Lowell W. Beineke,Robin J. Wilson 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. Topics in Structural Graph Theory
  3. Series Page
  4. Title
  5. Copyright
  6. Contents
  7. Foreword
  8. Preface
  9. Preliminaries
  10. 1 Menger's theorem
  11. 2 Maximally connected graphs
  12. 3 Minimal connectivity
  13. 4 Contractions of k-connected graphs
  14. 5 Connectivity and cycles
  15. 6 H-linked graphs
  16. 7 Tree-width and graph minors
  17. 8 Toughness and binding numbers
  18. 9 Graph fragmentability
  19. 10 The phase transition in random graphs
  20. 11 Network reliability and synthesis
  21. 12 Connectivity algorithms
  22. 13 Using graphs to find the best block designs
  23. Notes on contributors
  24. Index