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Combinatorial Optimization: Algorithms and Complexity Christos H. Papadimitriou, Kenneth Steiglitz
Publisher: Dover Publications

TOPICS: • Complexity theory • NP-completeness • Combinatorial algorithms • Approximation algorithms • Other topics depending on the interests in the class and time permitting. Combinatorial Optimization: Algorithms and Complexity (Papadimitriou/Steiglitz). Rule appears on page 188 of Saul Gass's book, Linear Programming: Methods and Applications, 5th ed., 1985, taken from the version that appears in Papadimitriou and Steiglitz's book Combinatorial Optimization: Algorithms and Complexity,1982. Book Title: Combinatorial Optimization: Algorithms and Complexity (Dover Books on Computer Science). Combinatorial Optimization: Theory and Algorithms (Korte/Vygen). Among these patterns, the real encoding has been shown to have more capability for complex problems (Andrzej [26]). And Combinatorial Optimization INSTRUCTOR: Daya Gaur CLASS TIMES: Tuesday/Thursday 1:40 pm - 2:55 pm. Now that George had formulated a mathematical model for linear optimization, had discovered an efficient algorithm, and had solved some realistic problems with it, how should his work be communicated to the world? OBJECTIVE: To understand what can and cannot be achieved by computation especially by efficient computation. Randomized Algorithms (Motwani/Raghavan). Due to the NP completeness of many combinatorial optimization problems, they are quite difficult to be solved analytically, and exact search algorithms such as branch and bound may degenerate to complete enumeration, and the CPU time needed to solve them may grow exponentially in the worst case.