LEADER 03608nam 22007212 450 001 9910821985403321 005 20151005020622.0 010 $a1-107-22177-3 010 $a1-283-11116-0 010 $a9786613111166 010 $a1-139-07652-3 010 $a0-511-97715-8 010 $a1-139-08334-1 010 $a1-139-07880-1 010 $a1-139-08107-1 010 $a1-139-07080-0 035 $a(CKB)2670000000093843 035 $a(EBL)691988 035 $a(OCoLC)726734811 035 $a(SSID)ssj0000523591 035 $a(PQKBManifestationID)11333399 035 $a(PQKBTitleCode)TC0000523591 035 $a(PQKBWorkID)10542705 035 $a(PQKB)11558967 035 $a(UkCbUP)CR9780511977152 035 $a(Au-PeEL)EBL691988 035 $a(CaPaEBR)ebr10470664 035 $a(CaONFJC)MIL311116 035 $a(MiAaPQ)EBC691988 035 $a(PPN)189906545 035 $a(EXLCZ)992670000000093843 100 $a20101013d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIterative methods in combinatorial optimization /$fLap Chi Lau, R. Ravi, Mohit Singh$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xi, 242 pages) $cdigital, PDF file(s) 225 1 $aCambridge texts in applied mathematics ;$v46 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-18943-8 311 $a1-107-00751-8 320 $aIncludes bibliographical references and index. 327 $aMachine generated contents note: 1. Introduction; 2. Preliminaries; 3. Matching and vertex cover in bipartite graphs; 4. Spanning trees; 5. Matroids; 6. Arborescence and rooted connectivity; 7. Submodular flows and applications; 8. Network matrices; 9. Matchings; 10. Network design; 11. Constrained optimization problems; 12. Cut problems; 13. Iterative relaxation: early and recent examples; 14. Summary. 330 $aWith the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms. 410 0$aCambridge texts in applied mathematics ;$v46. 606 $aIterative methods (Mathematics) 606 $aCombinatorial optimization 615 0$aIterative methods (Mathematics) 615 0$aCombinatorial optimization. 676 $a518/.26 686 $aCOM000000$2bisacsh 700 $aLau$b Lap Chi$01654147 702 $aRavi$b R$g(Ramamoorthi),$f1969- 702 $aSingh$b Mohit 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910821985403321 996 $aIterative methods in combinatorial optimization$94005802 997 $aUNINA