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Graph Theory

Graph Theory

Graph Theory

A Problem Oriented Approach
August 2008
Hardback
9780883857533
NZD$120.00
inc GST
Hardback

    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

    Product details

    August 2008
    Hardback
    9780883857533
    240 pages
    260 × 182 × 16 mm
    0.55kg
    640 exercises
    This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

    Table of Contents

    • Preface
    • A. Basic Concepts
    • B. Isomorphic graphs
    • C. Bipartite graphs
    • D. Trees and forests
    • E. Spanning tree algorithms
    • F. Euler paths
    • G. Hamilton paths and cycles
    • H. Planar graphs
    • I. Independence and covering
    • J. Connections and obstructions
    • K. Vertex coloring
    • L. Edge coloring
    • M. Matching theory for bipartite graphs
    • N. Applications of matching theory
    • O. Cycle-Free digraphs
    • Answers to selected problems.