UID:
almahu_9948436029902882
Format:
VIII, 104 p. 67 illus.
,
online resource.
Edition:
1st ed. 2020.
ISBN:
9783030488970
Series Statement:
SpringerBriefs in Mathematics,
Content:
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.
Note:
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. .
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030488963
Additional Edition:
Printed edition: ISBN 9783030488987
Language:
English
DOI:
10.1007/978-3-030-48897-0
URL:
https://doi.org/10.1007/978-3-030-48897-0
