Lectures on Proof Verification and Approximation Algorithms: 1367 - Brossura

Mayr, Ernst W.; Pr??mel, Hans J??rgen; Steger, Angelika

Brossura

ISBN 10: 3540642013 ISBN 13: 9783540642015

Casa editrice: Springer, 2008

Riassunto

During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.

Su questo libro

Contenuti

to the theory of complexity and approximation algorithms.- to randomized algorithms.- Derandomization.- Proof checking and non-approximability.- Proving the PCP-Theorem.- Parallel repetition of MIP(2,1) systems.- Bounds for approximating MaxLinEq3-2 and MaxEkSat.- Deriving non-approximability results by reductions.- Optimal non-approximability of MaxClique.- The hardness of approximating set cover.- Semidefinite programming and its applications to approximation algorithms.- Dense instances of hard optimization problems.- Polynomial time approximation schemes for geometric optimization problems in euclidean metric spaces.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2008
• ISBN 10: 3540642013
• ISBN 13: 9783540642015
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 364