02757nam 22005535 450 991048307590332120200708043225.03-030-48897-710.1007/978-3-030-48897-0(CKB)4100000011325824(DE-He213)978-3-030-48897-0(MiAaPQ)EBC6270557(PPN)258061367(EXLCZ)99410000001132582420200704d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierTopics in Gallai-Ramsey Theory /by Colton Magnant, Pouria Salehi Nowbandegani1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (VIII, 104 p. 67 illus.) SpringerBriefs in Mathematics,2191-8198Includes index.3-030-48896-9 1. 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. .This 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.SpringerBriefs in Mathematics,2191-8198Graph theoryCombinatoricsGraph Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M29020Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Graph theory.Combinatorics.Graph Theory.Combinatorics.511.5511.5Magnant Coltonauthttp://id.loc.gov/vocabulary/relators/aut767884Salehi Nowbandegani Pouriaauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910483075903321Topics in Gallai-Ramsey Theory2359371UNINA