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.
€69.54
Tabella dei contenuti
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.
Lingua Inglese ● Formato PDF ● Pagine 104 ● ISBN 9783030488970 ● Dimensione 4.3 MB ● Casa editrice Springer International Publishing ● Città Cham ● Paese CH ● Pubblicato 2020 ● Scaricabile 24 mesi ● Moneta EUR ● ID 7524215 ● Protezione dalla copia DRM sociale
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