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Topics in Gallai-Ramsey theory

Magnant, Colton.

Topics in Gallai-Ramsey theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Topics in Gallai-Ramsey theoryby Colton Magnant, Pouria Salehi Nowbandegani.
作者:	Magnant, Colton.
其他作者:	Salehi Nowbandegani, Pouria.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	viii, 104 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Ramsey theory.
電子資源:	https://doi.org/10.1007/978-3-030-48897-0
ISBN:	9783030488970$q(electronic bk.)

Topics in Gallai-Ramsey theory
Magnant, Colton.

Topics in Gallai-Ramsey theory[electronic resource] /by Colton Magnant, Pouria Salehi Nowbandegani. - Cham :Springer International Publishing :2020. - viii, 104 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783030488970$q(electronic bk.)

Standard No.: 10.1007/978-3-030-48897-0doiSubjects--Topical Terms:

190968
Ramsey theory.

LC Class. No.: QA166 / .M346 2020

Dewey Class. No.: 511.5

Topics in Gallai-Ramsey theory
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520 $a 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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