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Record Nr. |
UNINA9910817428603321 |
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Autore |
Lee Jon <1960-> |
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Titolo |
A first course in combinatorial optimization / / Jon Lee |
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Pubbl/distr/stampa |
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Cambridge, UK ; ; New York, : Cambridge University Press, 2004 |
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ISBN |
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1-107-14425-6 |
0-511-64815-4 |
0-511-18783-1 |
0-511-56155-5 |
0-511-61665-1 |
0-511-18690-8 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (xvi, 211 pages) : digital, PDF file(s) |
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Collana |
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Cambridge texts in applied mathematics |
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Disciplina |
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Soggetti |
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Combinatorial optimization |
Combinatorial analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 207-208) and indexes. |
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Nota di contenuto |
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Polytopes and Linear Programming -- 1. Matroids and the Greedy Algorithm -- 2. Minimum-Weight Dipaths -- 3. Matroid Intersection -- 4. Matching -- 5. Flows and Cuts -- 6. Cutting Planes -- 7. Branch-&-Bound -- 8. Optimizing Submodular Functions. |
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Sommario/riassunto |
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A First Course in Combinatorial Optimization is a 2004 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. |
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