A First Course in Combinatorial Optimization: 36

A First Course in Combinatorial Optimization: 36 book cover

A First Course in Combinatorial Optimization: 36

Author(s): Jon Lee (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 1 April 2004
  • Edition: Illustrated
  • Language: English
  • Print length: 228 pages
  • ISBN-10: 0521010128
  • ISBN-13: 9780521010122

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.

Editorial Reviews

Review

‘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

Book Description

This self-contained beginning graduate text covers linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and network flows.

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