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Constraint Optimization and Statistical Mechanics

arXiv:cs/0312011

Abstract

In these lectures I will present an introduction to the results that have been recently obtained in constraint optimization of random problems using statistical mechanics techniques. After presenting the general results, in order to simplify the presentation I will describe in details only the problems related to the coloring of a random graph.

22 pages, 1 figure Lectures given at the Varenna summer school