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  • Cited by 70
      • Jon Lee, IBM T J Watson Research Center, New York
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2010
      February 2004
      ISBN:
      9780511616655
      9780521811514
      9780521010122
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.51kg, 228 Pages
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.312kg, 228 Pages
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    Book description

    A First Course in Combinatorial Optimization is a text for a one-semester introductory graduate-level course for students of operations research, mathematics, and computer science. It is a self-contained treatment of the subject, requiring only some mathematical maturity. Topics include: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows. Central to the exposition is the polyhedral viewpoint, which is the key principle underlying the successful integer-programming approach to combinatorial-optimization problems. Another key unifying topic is matroids. The author does not dwell on data structures and implementation details, preferring to focus on the key mathematical ideas that lead to useful models and algorithms. Problems and exercises are included throughout as well as references for further study.

    Reviews

    '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.'

    Source: International Statistical Institute

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