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Chapter 7: Permutations surveys combinatorial properties of permutations (orderings of the numbers 1 through N) and shows how they relate in a natural way to fundamental and widely-used sorting algorithms. | ANALYTIC COMBINATORICS PART ONE http aofa.cs.princeton.edu 7. Permutations Orientation Second half of class Surveys fundamental combinatorial classes. Considers techniques from analytic combinatorics to study them . Includes applications to the analysis of algorithms. AN INTRODUCTION TO THE Analysis Algorithms SECOND EDITION ROBERT SED GEWICK PHILIPPE FLAJOLET chapter combinatorial classes type of class type of GF 6 Trees unlabeled OGFs 7 Permutations labeled EGFs 8 Strings and Tries unlabeled OGFs 9 Words and Mappings labeled EGFs Note Many more examples in book than in lectures. 2 ANALYTIC COMBINATORICS PART ONE http aofa.cs.princeton.edu 7. Permutations Basics Sets of cycles Left-right-minima Other parameters BGFs and distributions .