A First Course in Combinatorial Optimization (Cambridge by Jon Lee

By Jon Lee

a primary path in Combinatorial Optimization is a 2004 textual content for a one-semester introductory graduate-level direction for college students of operations learn, arithmetic, and laptop technological know-how. it's a self-contained remedy of the topic, requiring just some mathematical adulthood. issues comprise: linear and integer programming, polytopes, matroids and matroid optimization, shortest paths, and community flows. primary to the exposition is the polyhedral standpoint, that is the main precept underlying the winning integer-programming method of combinatorial-optimization difficulties. one other key unifying subject is matroids. the writer doesn't stay on information buildings and implementation info, who prefer to target the main mathematical principles that result in valuable versions and algorithms. difficulties and routines are integrated all through in addition to references for additional study.

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