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Topics in Gallai-Ramsey Theory de Colton Magnant

Topics in Gallai-Ramsey Theory: SpringerBriefs in Mathematics

Autor Colton Magnant, Pouria Salehi Nowbandegani
en Limba Engleză Paperback – 5 iul 2020
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.
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Specificații

ISBN-13: 9783030488963
ISBN-10: 3030488969
Pagini: 104
Ilustrații: VIII, 104 p. 67 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.17 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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. 

Recenzii

“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)

Caracteristici

Explores Gallai-Ramsey Theory Contains strategies and technique to obtain fundamental results Features complete proofs, open problems, and detailed illustrations