tailieunhanh - Lecture Analytic combinatorics (Part 1) - Chapter 8: String and tries

Chapter 8: String and Tries studies basic combinatorial properties of strings, sequences of characters or letters drawn from a fixed alphabet, and introduces algorithms that process strings ranging from fundamental methods at the heart of the theory of computation to practical text-processing methods with a host of important applications. | ANALYTIC COMBINATORICS PART ONE http 8. Strings and Tries 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 8. Strings and Tries Bitstrings with restrictions Languages Tries Trie parameters .