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Topics in Gallai-Ramsey theory

Magnant, Colton.

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Topics in Gallai-Ramsey theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topics in Gallai-Ramsey theory/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Ramsey 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. - 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

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

646458
Ramsey theory.

LC Class. No.: QA166 / .M346 2020

Dewey Class. No.: 511.5

Topics in Gallai-Ramsey theory
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100 1 $a Magnant, Colton. $3 1035800
245 1 0 $a Topics in Gallai-Ramsey theory $h [electronic resource] / $c by Colton Magnant, Pouria Salehi Nowbandegani.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a viii, 104 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
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.
650 0 $a Ramsey theory. $3 646458
650 1 4 $a Graph Theory. $3 1567033
650 2 4 $a Combinatorics. $3 895617
700 1 $a Salehi Nowbandegani, Pouria. $3 3461607
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-030-48897-0
950 $a Mathematics and Statistics (SpringerNature-11649)