LEADER 02757nam 22005535 450 001 9910483075903321 005 20200708043225.0 010 $a3-030-48897-7 024 7 $a10.1007/978-3-030-48897-0 035 $a(CKB)4100000011325824 035 $a(DE-He213)978-3-030-48897-0 035 $a(MiAaPQ)EBC6270557 035 $a(PPN)258061367 035 $a(EXLCZ)994100000011325824 100 $a20200704d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopics in Gallai-Ramsey Theory /$fby Colton Magnant, Pouria Salehi Nowbandegani 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (VIII, 104 p. 67 illus.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 300 $aIncludes index. 311 $a3-030-48896-9 327 $a1. Introduction and Basic Definitions -- 2. General Structure Under Forbidden Rainbow Subgraphs -- 3. Gallai-Ramsey Results for Rainbow Triangles -- 4. Gallai-Ramsey Results for Other Rainbow Subgraphs -- 5. Conclusion and Open Problems. . 330 $aThis book explores topics in Gallai-Ramsey theory, which looks into whether rainbow colored subgraphs or monochromatic subgraphs exist in a sufficiently large edge-colored complete graphs. A comprehensive survey of all known results with complete references is provided for common proof methods. Fundamental definitions and preliminary results with illustrations guide readers to comprehend recent innovations. Complete proofs and influential results are discussed with numerous open problems and conjectures. Researchers and students with an interest in edge-coloring, Ramsey Theory, and colored subgraphs will find this book a valuable guide for entering Gallai-Ramsey Theory. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aGraph theory 606 $aCombinatorics 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aGraph theory. 615 0$aCombinatorics. 615 14$aGraph Theory. 615 24$aCombinatorics. 676 $a511.5 676 $a511.5 700 $aMagnant$b Colton$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767884 702 $aSalehi Nowbandegani$b Pouria$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483075903321 996 $aTopics in Gallai-Ramsey Theory$92359371 997 $aUNINA