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Topics in Gallai-Ramsey theory

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. Fund...

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Detalles Bibliográficos
Autores principales: Magnant, Colton, Salehi Nowbandegani, Pouria
Lenguaje:eng
Publicado: Springer 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-48897-0
http://cds.cern.ch/record/2727185
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author Magnant, Colton
Salehi Nowbandegani, Pouria
author_facet Magnant, Colton
Salehi Nowbandegani, Pouria
author_sort Magnant, Colton
collection CERN
description 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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spelling cern-27271852021-04-21T18:05:30Zdoi:10.1007/978-3-030-48897-0http://cds.cern.ch/record/2727185engMagnant, ColtonSalehi Nowbandegani, PouriaTopics in Gallai-Ramsey theoryMathematical Physics and MathematicsThis 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.Springeroai:cds.cern.ch:27271852020
spellingShingle Mathematical Physics and Mathematics
Magnant, Colton
Salehi Nowbandegani, Pouria
Topics in Gallai-Ramsey theory
title Topics in Gallai-Ramsey theory
title_full Topics in Gallai-Ramsey theory
title_fullStr Topics in Gallai-Ramsey theory
title_full_unstemmed Topics in Gallai-Ramsey theory
title_short Topics in Gallai-Ramsey theory
title_sort topics in gallai-ramsey theory
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-48897-0
http://cds.cern.ch/record/2727185
work_keys_str_mv AT magnantcolton topicsingallairamseytheory
AT salehinowbandeganipouria topicsingallairamseytheory