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Lectures on proof verification and approximation algorithms / / Ernst W. Mayr, Hans Jurgen Promel, Angelika Steger (eds.)



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Titolo: Lectures on proof verification and approximation algorithms / / Ernst W. Mayr, Hans Jurgen Promel, Angelika Steger (eds.) Visualizza cluster
Pubblicazione: Berlin ; ; Heidelberg : , : Springer, , [1998]
©1998
Edizione: 1st ed. 1998.
Descrizione fisica: 1 online resource (XII, 348 p.)
Disciplina: 003.54
Soggetto topico: Computer software
Information theory
Persona (resp. second.): MayrErnst
PrömelH. J.
StegerAngelika
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: 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.
Sommario/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.
Titolo autorizzato: Lectures on proof verification and approximation algorithms  Visualizza cluster
ISBN: 3-540-69701-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466136803316
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Serie: Lecture notes in computer science ; ; 1367.