Algorithm and Design Complexity
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Cover Half Title Title Copyright Contents Preface Acknowledgments About the Authors Introduction Chapter 1 Algorithm Analysis 1.1 Algorithm Analysis 1.2 Time–Space Trade-Off 1.3 Asymptotic Notations 1.4 Properties of Big-Oh Notations 1.5 Conditional Asymptotic Notations 1.6 Recurrence Equations 1.7 Solving Recurrence Equations 1.8 Analysis of Linear Search Chapter 2 Divide and Conquer 2.1 Divide and Conquer: General Method 2.2 Binary Search 2.3 Finding the Maximum and Minimum 2.4 Merge Sort 2.5 Greedy Algorithms: General Method 2.6 Container Loading 2.7 Knapsack Problem Chapter 3 Dynamic Programming 3.1 Introduction: Dynamic Programming 3.2 Multistage Graphs 3.3 All-Pairs Shortest Paths 3.4 Optimal Binary Search Trees 3.5 0/1 Knapsack 3.6 The Traveling Salesperson Problem Chapter 4 Backtracking 4.1 Backtracking: The General Method 4.2 The 8-Queens Problem 4.3 Sum of Subsets 4.4 Graph Coloring 4.5 Hamiltonian Cycles 4.6 0/1 Knapsack (Using Backtracking) Chapter 5 Graph 5.1 Introduction 5.2 Graph Traversals 5.3 Connected Components and Spanning Trees 5.4 Spanning Trees 5.5 Biconnected Components and DFS 5.6 Branch and Bound 5.7 0/1 Knapsack Problem 5.8 NP-Hard and NP-Complete Problems Index
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