## Complexity Theory: Exploring the Limits of Efficient AlgorithmsComplexity theory is the theory of determining the necessary resources for the solution of algorithmic problems and, therefore, the limits of what is possible with the available resources. An understanding of these limits prevents the search for non-existing efficient algorithms. This textbook considers randomization as a key concept and emphasizes the interplay between theory and practice: New branches of complexity theory continue to arise in response to new algorithmic concepts, and its results - such as the theory of NP-completeness - have influenced the development of all areas of computer science. The topics selected have implications for concrete applications, and the significance of complexity theory for today's computer science is stressed throughout. |

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### Contents

Contents | 1 |

Algorithmic Problems Their Complexity | 11 |

Fundamental Complexity Classes | 25 |

4 | 43 |

The Theory of NPCompleteness 63 | 62 |

6 | 77 |

Results | 99 |

Problems | 161 |

Further Topics From Classical Complexity Theory | 185 |

The Complexity of Nonuniform Problems 201 | 200 |

Communication Complexity | 219 |

The Complexity of Boolean Functions 251 | 250 |

Final Comments | 277 |

References | 295 |

### Other editions - View all

Complexity Theory: Exploring the Limits of Efficient Algorithms Ingo Wegener No preview available - 2009 |

Complexity Theory: Exploring the Limits of Efficient Algorithms Ingo Wegener No preview available - 2010 |