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  1. Home
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  3. A First Course in Combinatorial Optimization
  • Cited by 67
  • Jon Lee, IBM T J Watson Research Center, New York
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
2004
Online ISBN:
9780511616655
DOI:
https://doi.org/10.1017/CBO9780511616655
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Computer Science, Optimization, OR and risk, Statistics and Probability
Series:
Cambridge Texts in Applied Mathematics (36)
Information

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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