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Topics in Gallai-Ramsey Theory
~
Magnant, Colton.
Topics in Gallai-Ramsey Theory
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Topics in Gallai-Ramsey Theory/ by Colton Magnant, Pouria Salehi Nowbandegani.
Author:
Magnant, Colton.
other author:
Salehi Nowbandegani, Pouria.
Description:
VIII, 104 p. 67 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Graph theory. -
Online resource:
https://doi.org/10.1007/978-3-030-48897-0
ISBN:
9783030488970
Topics in Gallai-Ramsey Theory
Magnant, Colton.
Topics in Gallai-Ramsey Theory
[electronic resource] /by Colton Magnant, Pouria Salehi Nowbandegani. - 1st ed. 2020. - VIII, 104 p. 67 illus.online resource. - 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
Standard No.: 10.1007/978-3-030-48897-0doiSubjects--Topical Terms:
527884
Graph theory.
LC Class. No.: QA166-166.247
Dewey Class. No.: 511.5
Topics in Gallai-Ramsey Theory
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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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