03152oam 2200613 450 991014345740332120210714110444.03-540-69701-210.1007/BFb0053010(CKB)1000000000210899(SSID)ssj0000324387(PQKBManifestationID)11286811(PQKBTitleCode)TC0000324387(PQKBWorkID)10313628(PQKB)10475077(DE-He213)978-3-540-69701-5(MiAaPQ)EBC5595773(MiAaPQ)EBC6485425(Au-PeEL)EBL5595773(OCoLC)1076252580(PPN)155230883(EXLCZ)99100000000021089920210714d1998 uy 0engurnn|008mamaatxtccrLectures on proof verification and approximation algorithms /Ernst W. Mayr, Hans Jurgen Promel, Angelika Steger (eds.)1st ed. 1998.Berlin ;Heidelberg :Springer,[1998]©19981 online resource (XII, 348 p.) Lecture Notes in Computer Science ;1367Bibliographic Level Mode of Issuance: Monograph3-540-64201-3 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.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.Lecture notes in computer science ;1367.Computer softwareInformation theoryComputer software.Information theory.003.54Mayr ErnstPrömel H. J.Steger AngelikaMiAaPQMiAaPQUtOrBLWBOOK9910143457403321Lectures on proof verification and approximation algorithms2105503UNINA