Computational Complexity Theory

  1. Complexity Measurement
    1. Resource Bounding Concepts
      1. Time Complexity
        1. Definition and Measurement
          1. Time-Constructible Functions
          2. Space Complexity
            1. Definition and Measurement
              1. Space-Constructible Functions
              2. Other Resources
                1. Randomness
                  1. Parallelism
                    1. Communication
                  2. Input Size and Encoding
                    1. Input Representation
                      1. Encoding Schemes
                        1. Size Measures
                        2. Analysis Types
                          1. Worst-Case Analysis
                            1. Definition and Significance
                              1. Adversarial Inputs
                              2. Average-Case Analysis
                                1. Definition and Challenges
                                  1. Distribution Assumptions
                                  2. Best-Case Analysis
                                    1. Definition and Limitations
                                    2. Amortized Analysis
                                      1. Definition and Applications

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                                  3. Models of Computation

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                                  5. Time Complexity Classes