MTU Library Catalogue

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Combinatorial optimization : algorithms and complexity / Christos H. Papadimitriou, Kenneth Steiglitz.

By: Papadimitriou, Christos H.
Contributor(s): Steiglitz, Kenneth, 1939-.
Material type: materialTypeLabelBookPublisher: Mineola, N.Y. : Dover Publications, 1998Description: xvi, 496 p. : ill. ; 22 cm. + pbk.ISBN: 0486402584 .Subject(s): Mathematical optimization | Combinatorial optimization | Computational complexityDDC classification: 519.3
Contents:
Optimization problems -- The simplex algorithm -- Duality -- Computational considerations for the simplex algorithm -- The primal-dual algorithm -- Primal-dual algorithms for max-flow and shortest path; ford-fulkerson and dijkstra -- Primal-dual algorithms for min-cost flow -- Algorithms and complexity -- Efficient algorithms for the max-flow problem -- Algorithms for matching -- Weighted matching -- Spanning trees and matroids -- Integer linear programming -- A cutting-plane algorithm for integer linear programs -- NP-complete problems -- More about NP-completeness -- Approximation algorithms -- Branch-and-bound and dynamic programming -- Local search.

Enhanced descriptions from Syndetics:

This clearly written, mathematically rigorous text includes a novel algorithmic exposition of the simplex method and also discusses the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; approximation algorithms, local search heuristics for NP-complete problems, more. All chapters are supplemented by thought-provoking problems. A useful work for graduate-level students with backgrounds in computer science, operations research, and electrical engineering. "Mathematicians wishing a self-contained introduction need look no further." -- American Mathematical Monthly.

Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1982. With new pref.

Includes bibliographical references and index.

Optimization problems -- The simplex algorithm -- Duality -- Computational considerations for the simplex algorithm -- The primal-dual algorithm -- Primal-dual algorithms for max-flow and shortest path; ford-fulkerson and dijkstra -- Primal-dual algorithms for min-cost flow -- Algorithms and complexity -- Efficient algorithms for the max-flow problem -- Algorithms for matching -- Weighted matching -- Spanning trees and matroids -- Integer linear programming -- A cutting-plane algorithm for integer linear programs -- NP-complete problems -- More about NP-completeness -- Approximation algorithms -- Branch-and-bound and dynamic programming -- Local search.