Ramsey Theory : : Unsolved Problems and Results /

Ramsey Theory : : Unsolved Problems and Results / / Xiaodong Xu, Meilian Liang, Haipeng Luo.

Key problems and conjectures have played an important role in promoting the development of Ramsey theory, a field where great progress has been made during the past two decades, with some old problems solved and many new problems proposed. The present book will be helpful to readers who wish to lear...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
VerfasserIn:
Xu, Xiaodong,
Liang, Meilian,
Luo, Haipeng,
TeilnehmendeR:
University of Science & Technology,.
MitwirkendeR:
Xu, Xiaodong,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Online Access:
Physical Description:1 online resource (XII, 178 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1. Some Definitions And Notations
  • 2. Ramsey Theory
  • 3. Bi-Color Diagonal Classical Ramsey Numbers
  • 4. Paley Graphs And Lower Bounds For R(K, K)
  • 5. Bi-Color Off-Diagonal Classical Ramsey Numbers
  • 6. Multicolor Classical Ramsey Numbers
  • 7. Generalized Ramsey Numbers
  • 8. Folkman Numbers
  • 9. The Erdős–Hajnal Conjecture
  • 10. Other Ramsey-Type Problems In Graph Theory
  • 11. On Van Der Waerden Numbers And Szemerédi’S Theorem
  • 12. More Problems Of Ramsey Type In Additive Number Theory
  • 13. Sidon–Ramsey Numbers
  • 14. Games In Ramsey Theory
  • 15. Local Ramsey Theory
  • 16. Set-Coloring Ramsey Theory
  • 17. Other Problems And Conjectures
  • Epilogue
  • Bibliography
  • Index

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