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This chapter and the next are devoted to enumeration, where the problem is to determine the number of combinatorial configurations described by finite rules, and do so for all possible sizes. This chapter presents the following content: Symbolic method, trees and strings, powersets and multisets, compositions and partitions, substitution. | ANALYTIC COMBINATORICS PART TWO http ac.cs.princeton.edu 1. Combinatorial structures and OGFs Attention Much of this lecture is a quick review of material in Analytic Combinatorics Part I One consequence it is a bit longer than usual To Students who took Analytic Combinatorics Part I Bored because you understand it all GREAT Skip to the section on labelled trees and do the exercises. To Students starting with Analytic Combinatorics Part II Moving too fast Want to see details and motivating applications No problem watch Lectures 5 6 and 8 in Part I. ANALYTIC COMBINATORICS PART TWO Analytic Combinatorics Philippe Flajolet and Robert Sedgewick CAMBRIDGE 1. Combinatorial structures and OGFs Symbolic method Trees and strings Powersets and multisets Compositions and partitions Substitution http ac.cs.princeton.edu .
