Introduction to Graph Theory
2nd Edition
Published on 4. September 2000
Book
Hardback
470 pages
978-0-13-014400-3 (ISBN)
Description
For undergraduate or graduate courses in Graph Theory in departments of mathematics or computer science.
This text offers a comprehensive and coherent introduction to the fundamental topics of graph theory. It includes basic algorithms and emphasizes the understanding and writing of proofs about graphs. Thought-provoking examples and exercises develop a thorough understanding of the structure of graphs and the techniques used to analyze problems. The first seven chapters form the basic course, with advanced material in Chapter 8.
This text offers a comprehensive and coherent introduction to the fundamental topics of graph theory. It includes basic algorithms and emphasizes the understanding and writing of proofs about graphs. Thought-provoking examples and exercises develop a thorough understanding of the structure of graphs and the techniques used to analyze problems. The first seven chapters form the basic course, with advanced material in Chapter 8.
More details
Other editions
New editions
Douglas West
Introduction to Graph Theory (Classic Version)
Book
06/2017
2nd Edition
Pearson
€132.99
Shipment within 15-20 days
Previous edition
Douglas B. West
Introduction to Graph Theory
Book
12/1995
Pearson
€43.32
Article exhausted; check for reprint
Content
1. Fundamental Concepts.
What Is a Graph? Paths, Cycles, and Trails. Vertex Degrees and Counting. Directed Graphs.
2. Trees and Distance.
Basic Properties. Spanning Trees and Enumeration. Optimization and Trees.
3. Matchings and Factors.
Matchings and Covers. Algorithms and Applications. Matchings in General Graphs.
4. Connectivity and Paths.
Cuts and Connectivity. k-connected Graphs. Network Flow Problems.
5. Coloring of Graphs.
Vertex Colorings and Upper Bounds. Structure of k-chromatic Graphs. Enumerative Aspects.
6. Planar Graphs.
Embeddings and Euler's Formula. Characterization of Planar Graphs. Parameters of Planarity.
7. Edges and Cycles.
Line Graphs and Edge-Coloring. Hamiltonian Cycles. Planarity, Coloring, and Cycles.
8. Additional Topics (Optional).
Perfect Graphs. Matroids. Ramsey Theory. More Extremal Problems. Random Graphs. Eigenvalues of Graphs.
Appendix A: Mathematical Background.
Appendix B: Optimization and Complexity.
Appendix C: Hints for Selected Exercises.
Appendix D: Glossary of Terms.
Appendix E: Supplemental Reading.
Appendix F: References.
Indices.
What Is a Graph? Paths, Cycles, and Trails. Vertex Degrees and Counting. Directed Graphs.
2. Trees and Distance.
Basic Properties. Spanning Trees and Enumeration. Optimization and Trees.
3. Matchings and Factors.
Matchings and Covers. Algorithms and Applications. Matchings in General Graphs.
4. Connectivity and Paths.
Cuts and Connectivity. k-connected Graphs. Network Flow Problems.
5. Coloring of Graphs.
Vertex Colorings and Upper Bounds. Structure of k-chromatic Graphs. Enumerative Aspects.
6. Planar Graphs.
Embeddings and Euler's Formula. Characterization of Planar Graphs. Parameters of Planarity.
7. Edges and Cycles.
Line Graphs and Edge-Coloring. Hamiltonian Cycles. Planarity, Coloring, and Cycles.
8. Additional Topics (Optional).
Perfect Graphs. Matroids. Ramsey Theory. More Extremal Problems. Random Graphs. Eigenvalues of Graphs.
Appendix A: Mathematical Background.
Appendix B: Optimization and Complexity.
Appendix C: Hints for Selected Exercises.
Appendix D: Glossary of Terms.
Appendix E: Supplemental Reading.
Appendix F: References.
Indices.