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Combinatorial optimization is a lively field of applied mathematics, combining techniques from combinatorics, linear programming, and the theory of algorithms,Cook, W. Cunningham, W. Pulleyblank and A. Schrijver, Combinatorial Optimization . C. Papadimitriou and K. Steiglitz, Combinatorial Optimization: Algorithms and Combinatorial Optimization [PDF] · Authors: William J. Cook , William H. Cunningham , William R. Pulleyblank , Alexander Schrijver · PDF. This book arose from several courses on combinatorial optimization and from special classes on topics like polyhedral 15.4 Cook's Theorem .