Algorithm Design and Analysis

  1. String Matching Algorithms
    1. Problem Statement
      1. Naive String Matching
        1. Algorithm Description
          1. Implementation
            1. Time Complexity Analysis
              1. Worst-Case Examples
              2. The Rabin-Karp Algorithm
                1. Hash Function Design
                  1. Rolling Hash Technique
                    1. Algorithm Description
                      1. Collision Handling
                        1. Analysis
                          1. Best-Case
                            1. Average-Case
                              1. Worst-Case
                            2. The Knuth-Morris-Pratt Algorithm
                              1. Motivation
                                1. Prefix Function
                                  1. Preprocessing Phase
                                    1. Search Phase
                                      1. Analysis
                                        1. Implementation Details
                                        2. The Boyer-Moore Algorithm
                                          1. Bad Character Heuristic
                                            1. Good Suffix Heuristic
                                              1. Preprocessing Phase
                                                1. Search Phase
                                                  1. Analysis
                                                    1. Implementation Considerations
                                                    2. Finite Automata for String Matching
                                                      1. Automaton Construction
                                                        1. Matching Process
                                                          1. Analysis
                                                          2. Multiple Pattern Matching
                                                            1. Aho-Corasick Algorithm
                                                              1. Trie Construction
                                                                1. Failure Function
                                                                  1. Pattern Matching Process

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                                                                10. Computational Complexity Theory