LEADER 03389nam 22006375 450 001 9910595051803321 005 20240221142224.0 010 $a3-031-12762-5 024 7 $a10.1007/978-3-031-12762-5 035 $a(MiAaPQ)EBC7088324 035 $a(Au-PeEL)EBL7088324 035 $a(CKB)24846072100041 035 $a(DE-He213)978-3-031-12762-5 035 $a(PPN)264953908 035 $a(EXLCZ)9924846072100041 100 $a20220916d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElementary Methods of Graph Ramsey Theory /$fby Yusheng Li, Qizhong Lin 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (349 pages) 225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v211 311 08$aPrint version: Li, Yusheng Elementary Methods of Graph Ramsey Theory Cham : Springer International Publishing AG,c2022 9783031127618 320 $aIncludes bibliographical references and index. 327 $aExistence -- Small Ramsey Numbers -- Basic Probalistic Method -- Random Graph -- Lovász Local Lemma -- Constructive Lower Bounds -- Turán Number and Related Ramsey Number -- Communication Channels -- Dependent Random Choice -- Quasi-Random Graphs -- Regularity Lemma and van der Waerden Number -- More Ramsey Linear Functions -- Various Ramsey Problems. 330 $aThis book is intended to provide graduate students and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents allow the text to be used in seminars. It is structured in thirteen chapters which are application-focused and largely independent, enabling readers to target specific topics and information to focus their study. The first chapter includes a true beginner?s overview of elementary examples in graph Ramsey theory mainly using combinatorial methods. The following chapters progress through topics including the probabilistic methods, algebraic construction, regularity method, but that's not all. Many related interesting topics are also included in this book, such as the disproof for a conjecture of Borsuk on geometry, intersecting hypergraphs, Turán numbers and communication channels, etc. 410 0$aApplied Mathematical Sciences,$x2196-968X ;$v211 606 $aGraph theory 606 $aDiscrete mathematics 606 $aProbabilities 606 $aGraph Theory 606 $aApplications of Discrete Mathematics 606 $aProbability Theory 606 $aTeoria de Ramsey$2thub 608 $aLlibres electrònics$2thub 615 0$aGraph theory. 615 0$aDiscrete mathematics. 615 0$aProbabilities. 615 14$aGraph Theory. 615 24$aApplications of Discrete Mathematics. 615 24$aProbability Theory. 615 7$aTeoria de Ramsey 676 $a511.5 700 $aLi$b Yusheng$01258054 702 $aLin$b Qizhong 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910595051803321 996 $aElementary methods of graph Ramsey theory$93008884 997 $aUNINA