Fundamentals of Graph Theory
eBook - PDF

Fundamentals of Graph Theory

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

Fundamentals of Graph Theory

About this book

Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.

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Yes, you can access Fundamentals of Graph Theory by Allan Bickle 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.

Table of contents

  1. Cover
  2. Preface
  3. Chapter 1. Basics of Graphs
  4. Chapter 2. Trees and Connectivity
  5. Chapter 3. Structure and Degrees
  6. Chapter 4. Vertex Coloring
  7. Chapter 5. Planarity
  8. Chapter 6. Hamiltonian Graphs
  9. Chapter 7. Matchings
  10. Chapter 8. Generalized Graph Colorings
  11. Chapter 9. Decompositions
  12. Chapter 10. Appendices
  13. Nomenclature
  14. Bibliography
  15. Index
  16. Back Cover