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Graph Theory and Applications

with exercises and problems

Jean-Claude Fournier, University Pierre et Marie Curie, Paris, France

ISBN: 9781848210707

Publication Date: February 2009   Hardback   288 pp.

135.00 USD


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Description

This book provides a pedagogical and comprehensive 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, 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.

Contents

1. Basic Concepts.
2. Trees.
3. Colorings.
4. Directed Graphs.
5. Search Algorithms.
6. Optimal Paths.
7. Matchings.
8. Flows.
9. Euler Tours.
10. Hamilton Cycles.
11. Planar Representations.
12. Problems with Comments.

About the Authors

Jean-Claude Fournier is Professor at the University of Paris 12, France, and is a member of the Unité Mixte de Recherche Combinatoire et Optimisation (University of Paris 6 and CNRS) founded by Claude Berge.

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