Graph theory : a problem oriented approach
著者
書誌事項
Graph theory : a problem oriented approach
（MAA textbooks）
Mathematical Association of America, 2011, c2008
- : pbk
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注記
Includes index
内容説明・目次
内容説明
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.
目次
- Preface
- 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
- Index
- About the author.
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