Topics in Gallai-Ramsey Theory

1. Auflage 2020
ISBN: 978-3-030-48896-3
Verlag: Springer International Publishing

Buch, Englisch, 104 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 184 g

Reihe: SpringerBriefs in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Salehi Nowbandegani, Pouria

Magnant, Colton

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

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.