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Combining the features of a textbook with those of a problem workbook, this text for mathematics, computer science and engineering students presents a natural, friendly way to learn some of the essential ideas of graph theory. The material is explained using 360 strategically placed problems with connecting text, which is then supplemented by 280 additional homework problems. This problem-oriented format encourages active involvement by the reader while always giving clear direction. This approach is especially valuable with the presentation of proofs, which become more frequent and elaborate as the book progresses. Arguments are arranged in digestible chunks and always appear together with concrete examples to help remind the reader of the bigger picture. Topics include spanning tree algorithms, Euler paths, Hamilton paths and cycles, independence and covering, connections and obstructions, and vertex and edge colourings.Read more
- Introduces graph theory using 360 explanatory exercises, with a further 280 homework problems to help students master the concepts
- Topics include Hall's Theorem, the Konig–Egervary Theorem, matrices and Latin squares
- Ideal for undergraduates in mathematics, computer science and engineering
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- Edition: 2nd Edition
- Date Published: August 2015
- format: Paperback
- isbn: 9780883857724
- length: 218 pages
- dimensions: 253 x 179 x 13 mm
- weight: 0.41kg
- availability: In stock
Table of Contents
1. Introduction: problems of graph theory
2. Basic concepts
3. Isomorphic graphs
4. Bipartite graphs
5. Trees and forests
6. Spanning tree algorithms
7. Euler paths
8. Hamilton paths and cycles
9. Planar graphs
10. Independence and covering
11. Connections and obstructions
12. Vertex coloring
13. Edge coloring
14. Matching theory for bipartite graphs
15. Applications of matching theory
16. Cycle-free digraphs
17. Network flow theory
18. Flow problems with lower bounds
Answers to selected problems
About the author.
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