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Topics in Gallai-Ramsey theory
~
Magnant, Colton.
Topics in Gallai-Ramsey theory
Record Type:
Electronic resources : Monograph/item
Title/Author:
Topics in Gallai-Ramsey theoryby Colton Magnant, Pouria Salehi Nowbandegani.
Author:
Magnant, Colton.
other author:
Salehi Nowbandegani, Pouria.
Published:
Cham :Springer International Publishing :2020.
Description:
viii, 104 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
Subject:
Ramsey theory.
Online resource:
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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by Colton Magnant, Pouria Salehi Nowbandegani.
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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.
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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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based on 0 review(s)
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EB QA166 .M196 2020 2020
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https://doi.org/10.1007/978-3-030-48897-0
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