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. -- <i>American Mathematical Monthly.</i>
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