TY - BOOK AU - Lee,Jon TI - A First Course in Combinatorial Optimization [ electronic resource ] SN - 9780511616655 ( e-book ) U1 - 519.64 21 PY - 2010/// CY - Cambridge PB - Cambridge University Press KW - Computer Science KW - Algorithmics KW - Complexity KW - Computer Algebra KW - Computational Geometry KW - Mathematical Physics KW - Differential and Integral Equations KW - Dynamical Systems and Control Theory KW - Statistics and Probability KW - Electronic books N2 - 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 UR - https://doi.org/10.1017/CBO9780511616655 ER -