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H$0438111 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910449788803321 996 $aConducting a needs analysis$915689 997 $aUNINA LEADER 03727nam 22007212 450 001 9910457956503321 005 20151005020624.0 010 $a1-107-14888-X 010 $a1-280-45797-X 010 $a9786610457977 010 $a0-511-18604-5 010 $a0-511-18521-9 010 $a0-511-18790-4 010 $a0-511-31388-8 010 $a0-511-61667-8 010 $a0-511-18697-5 035 $a(CKB)1000000000353168 035 $a(EBL)256703 035 $a(OCoLC)171138586 035 $a(SSID)ssj0000163458 035 $a(PQKBManifestationID)11163312 035 $a(PQKBTitleCode)TC0000163458 035 $a(PQKBWorkID)10116690 035 $a(PQKB)11073863 035 $a(UkCbUP)CR9780511616679 035 $a(OCoLC)560090892 035 $a(MiAaPQ)EBC256703 035 $a(Au-PeEL)EBL256703 035 $a(CaPaEBR)ebr10124735 035 $a(CaONFJC)MIL45797 035 $a(OCoLC)69870235 035 $a(EXLCZ)991000000000353168 100 $a20090915d2004|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGlobal methods for combinatorial isoperimetric problems /$fL.H. Harper$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2004. 215 $a1 online resource (xiv, 232 pages) $cdigital, PDF file(s) 225 1 $aCambridge studies in advanced mathematics ;$v90 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-18383-9 311 $a0-521-83268-3 320 $aIncludes bibliographical references and index. 327 $a1. The edge-isoperimetric problem -- 2. The minimum path problem -- 3. Stabilization and compression -- 4. The vertex-isoperimetric problem -- 5. Stronger stabilization -- 6. Higher compression -- 7. Isoperimetric problems on infinite graphs -- 8. Isoperimetric problems on complexes -- 9. Morphisms for MWI problems -- 10. Passage to the limit -- App. The classical isoperimetric problem. 330 $aCertain constrained combinatorial optimization problems have a natural analogue in the continuous setting of the classical isoperimetric problem. The study of so called combinatorial isoperimetric problems exploits similarities between these two, seemingly disparate, settings. This text focuses on global methods. This means that morphisms, typically arising from symmetry or direct product decomposition, are employed to transform new problems into more restricted and easily solvable settings whilst preserving essential structure. This book is based on Professor Harper's many years' experience in teaching this subject and is ideal for graduate students entering the field. The author has increased the utility of the text for teaching by including worked examples, exercises and material about applications to computer science. 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