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Graph Theory

Graph Theory
A Problem Oriented Approach

2nd Edition


  • Date Published: August 2015
  • availability: Temporarily unavailable - available from TBC
  • format: Paperback
  • isbn: 9780883857724

£ 37.99

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About the Authors
  • 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.

    • 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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    Product details

    • 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: Temporarily unavailable - available from TBC
  • 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.

  • Author

    Daniel A. Marcus
    Daniel A. Marcus received his PhD from Harvard University. He was a J. Willard Gibbs Instructor at Yale University from 1972 to 1974 and Professor of Mathematics at California State Polytechnic University, Pomona, from 1979 to 2004.

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