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Introduction to Algorithms

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Introduction to Algorithms
Second Edition
Thomas H. Cormen
Charles E. Leiserson
Ronald L. Rivest
Clifford Stein



Table of Contents 

I Foundations

1 The Role of Algorithms in Computing

2 Getting Started

3 Growth of Functions

4 Recurrences

5 Probabilistic Analysis and Randomized Algorithms

II Sorting and Order Statistics

6 Heapsort

7 Quicksort

8 Sorting in Linear Time

9 Medians and Order Statistics

III Data Structures

10 Elementary Data Structures

11 Hash Tables

12 Binary Search Trees

13 Red-Black Trees

14 Augmenting Data Structures

IV Advanced Design and Analysis Techniques

15 Dynamic Programming

16 Greedy Algorithms

17 Amortized Analysis

V Advanced Data Structures

18 B-Trees

19 Binomial Heaps

20 Fibonacci Heaps

21 Data Structures for Disjoint Sets

VI Graph Algorithms

22 Elementary Graph Algorithms

23 Minimum Spanning Trees

24 Single-Source Shortest Paths

25 All-Pairs Shortest Paths

26 Maximum Flow

VII Selected Topics

27 Sorting Networks

28 Matrix Operations

29 Linear Programming

30 Polynomials and the FFT

31 Number-Theoretic Algorithms

32 String Matching

33 Computational Geometry

34 NP-Completeness

35 Approximation Algorithms

VIII Appendix: Mathematical Background




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