Topics in Gallai-Ramsey Theory
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Beschreibung
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.
Explores Gallai-Ramsey Theory Contains strategies and technique to obtain fundamental results Features complete proofs, open problems, and detailed illustrations
Autor*in
Colton Magnant
Themen in »Topics in Gallai-Ramsey Theory«
Forbidden Rainbow Subgraphs Rainbow Triangles Rainbow Paths Non-Bipartite Graphs Bipartite Graphs Gallai-Ramsey Results for Other Rainbow Subgraphs Open Problems combinatorics
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“In the opinion of the reviewer, Topics in Gallai-Ramsey theory is a well-organized, well-written, valuable compendium of results in the foundation and halfway up to the second story of the newly christened area of Gallai-Ramsey theory. … this book and efforts in the area will have helped to shape whatever comes next.” (Peter D. Johnson, Jr., Mathematical Reviews, April, 2022)
“This book is an excellent and much sought after material addressing Gallai-Ramsey theory. … this book is meant for very serious researchers in this topic.” (V. Yegnanarayanan, zbMATH 1452.05001, 2021)
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