AlegendsaysthatJackEdmondsshouted"Eureka-youshrink "whenhefound a good characterization for matching (and the matching algorithm) in 1963, the daybeforehistalkatasummerworkshopatRANDCorporationwithcelebrities like George Dantzig, Ralph Gomory, and Alan Ho?man in the audience. During Aussois 2001, Jack con?rmed: "'Eureka - you shrink ' is really true, except that instead of 'Eureka' it maybe was some less digni?ed word." Aussois 2001 was the ?fth in an annual series of workshops on combinatorial optimization that are alternately organized by Thomas Liebling, Denis Naddef,...

Contains 34 papers, reviewed and selected from 119 submissions. This book addresses topics like mixed-integer programming, graph theory, graph algorithms, approximation, linear programming, approximability, packing, scheduling, computational geometry, randomization, network algorithms, sequencing, TSP, and the travelling salesman problem.

This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization...