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A First Course in Combinatorial Optimization

A First Course in Combinatorial Optimization

$49.99 (Z)

Part of Cambridge Texts in Applied Mathematics

  • Date Published: February 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521010122

$49.99 (Z)
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About the Authors
  • Jon Lee focuses on key mathematical ideas leading to useful models and algorithms, rather than on data structures and implementation details, in this introductory graduate-level text for students of operations research, mathematics, and computer science. The viewpoint is polyhedral, and Lee also uses matroids as a unifying idea. Topics include linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Problems and exercises are included throughout as well as references for further study.

    • Self contained (includes all linear-programming preliminaries)
    • Aimed as a one-semester textbook (not a research monograph)
    • Problems and exercises interspersed in the exposition, making the text a 'workbook' for the student
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    Reviews & endorsements

    "Lee strikes a perfect balance between the specific and the general, between the concrete and the abstract."
    CHOICE

    “The author, with his light but rigorous mathematical writing style, takes delight in revealing the stars of combinatorial optimization. This is an excellent teaching book; I recommend it highly.”
    International Statistical Institute

    "The book is attractively laid out on the page and there are lots of good diagrams. Algorithms are separated visually in special boxes and are easy to track down. There are plenty of problems (short proofs) and exercises (calculations) and they are well integrated with the text."
    MAA Reviews, Bill Satzer

    "Jon Lee's A First Course in Combinatorial Optimization is a brilliant introduction to the topic." - Ryan B. Hayward, University of Alberta

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    Product details

    • Date Published: February 2004
    • format: Paperback
    • isbn: 9780521010122
    • length: 228 pages
    • dimensions: 229 x 152 x 13 mm
    • weight: 0.34kg
    • availability: Available
  • Table of Contents

    Introduction
    Polytopes and linear programming
    1. Matroids and the greedy algorithm
    2. Minimum-weight dipaths
    3. Matroid intersection
    4. Matching
    5. Flows and cuts
    6. Cutting planes
    7. Branch-&-bound
    8. Optimizing submodular functions
    Appendix.

  • Instructors have used or reviewed this title for the following courses

    • Integer Programming and Combinatorial Optimization
  • Author

    Jon Lee, University of Michigan, Ann Arbor

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