Bibliographic Information

Topics in Gallai-Ramsey theory

Colton Magnant, Pouria Salehi Nowbandegani

(SpringerBriefs in mathematics)

Springer, c2020

Available at  / 6 libraries

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Note

Includes bibliographical references and index

Description and Table of Contents

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.

Table of Contents

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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Details

  • NCID
    BC01611824
  • ISBN
    • 9783030488963
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    viii, 104 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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