The Probabilistic Method
نویسنده
چکیده
In this lecture, we will study some basic principles of the probabilistic method, a combinatorial tool with many applications in computer science. This method is a powerful tool for demonstrating the existence of combinatorial objects. We introduce the basic idea through several examples drawn from early lecture notes, and follow that by a detailed study of the maximum satisfiability (MAX-SAT) problem. We then introduce the notion of expanding graphs and apply the probabilistic method to demonstrate their existence. These graphs have properties that prove useful in later lecture notes, and we illustrate these properties via an application to probability amplification.
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تاریخ انتشار 2001