Đang chuẩn bị nút TẢI XUỐNG, xin hãy chờ
Tải xuống
Chapter 6: Trees investigates properties of many different types of trees, fundamental structures that arise implicitly and explicitly in many practical algorithms. Our goal is to provide access to results from an extensive literature on the combinatorial analysis of trees, while at the same time providing the groundwork for a host of algorithmic applications. | ANALYTIC COMBINATORICS PART ONE http aofa.cs.princeton.edu 6. Trees Review First half of class Introduced analysis of algoritihms. Surveyed basic mathematics needed for scientific studies. Introduced analytic combinatorics. AN INTRODUCTION TO THE Analysis Algorithms SECOND EDITION ROBERT SED GEWICK PHILIPPE FLAJOLET 1 2 3 4 5 Analysis of Algorithms Recurrences Generating Functions Asymptotics Analytic Combinatorics Note Many applications beyond analysis of algorithms. 2 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.