
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
This book provides a comprehensive and pedagogical introduction to graph theory and its applications. It contains all the standard basic material and develops significant topics and applications, such as: colorings and the timetabling problem, matchings and the optimal assignment problem, and Hamiltonian cycles and the travelling salesman problem, to name but a few. Exercises at various levels are given at the end of each chapter, and a final chapter presents a few general problems with hints for solutions, thus providing the reader with the opportunity to test and refine their knowledge on the subject. An appendix outlines the basis of computational complexity theory, in particular the definition of NP-completeness, which is essential for algorithmic applications.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- Introduction
- Chapter 1: Basic Concepts
- Chapter 2: Trees
- Chapter 3: Colorings
- Chapter 4: Directed Graphs
- Chapter 5: Search Algorithms
- Chapter 6: Optimal Paths
- Chapter 7: Matchings
- Chapter 8: Flows
- Chapter 9: Euler Tours
- Chapter 10: Hamilton Cycles
- Chapter 11: Planar Representations
- Chapter 12: Problems with Comments
- Appendix A. Expression of Algorithms
- Appendix B. Bases of Complexity Theory
- Bibliography
- Index