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Introduction To Algorithms(4 ed)

MikeLess than 1 minutealgorithm

Contents

Part I Foundations

Introduction

1 The Role of Algorithms in Computing

2 Getting Started

3 Characterizing Running Times

4 Divide-and-Conquer

5 Probabilistic Analysis and Randomized Algorithms

Part II Sorting and Order Statistics

Introduction

6 Heapsort

7 Quicksort

8 Sorting in Linear Time

9 Medians and Order Statistics

Part III Data Structures

Introduction

10 Elementary Data Structures

11 Hash Tables

12 Binary Search Trees

13 Red-Black Trees

Part IV Advanced Design and Analysis Techniques

Introduction

14 Dynamic Programming

15 Greedy Algorithms

16 Amortized Analysis

Part V Advanced Data Structures

Introduction

17 Augmenting Data Structures

18 B-Trees

19 Data Structures for Disjoint Sets

Part VI Graph Algorithms

Introduction

20 Elementary Graph Algorithms

21 Minimum Spanning Trees

22 Single-Source Shortest Paths

23 All-Pairs Shortest Paths

24 Maximum Flow

25 Matchings in Bipartite Graphs

Part VII Selected Topics

Introduction

26 Parallel Algorithms

27 Online Algorithms

28 Matrix Operations

29 Linear Programming

30 Polynomials and the FFT

31 Number-Theoretic Algorithms

32 String Matching

33 Machine-Learning Algorithms

34 NP-Completeness

35 Approximation Algorithms

Part VIII Appendix: Mathematical Background

Introduction

A Summations

B Sets, Etc

C Counting and Probability

D Matrices