Average Case Complexity


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Average-Case Complexity


Average-Case Complexity

Author: Andrej Bogdanov

language: en

Publisher: Now Publishers Inc

Release Date: 2006


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Average-Case Complexity is a thorough survey of the average-case complexity of problems in NP. The study of the average-case complexity of intractable problems began in the 1970s, motivated by two distinct applications: the developments of the foundations of cryptography and the search for methods to "cope" with the intractability of NP-hard problems. This survey looks at both, and generally examines the current state of knowledge on average-case complexity. Average-Case Complexity is intended for scholars and graduate students in the field of theoretical computer science. The reader will also discover a number of results, insights, and proof techniques whose usefulness goes beyond the study of average-case complexity.

Computational Complexity


Computational Complexity

Author: Sanjeev Arora

language: en

Publisher: Cambridge University Press

Release Date: 2009-04-20


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New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Beyond the Worst-Case Analysis of Algorithms


Beyond the Worst-Case Analysis of Algorithms

Author: Tim Roughgarden

language: en

Publisher: Cambridge University Press

Release Date: 2021-01-14


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Introduces exciting new methods for assessing algorithms for problems ranging from clustering to linear programming to neural networks.