Ramsey theory : unsolved problems and results /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Xu, Xiaodong (Physicist) (Autor), Liang, Meilian (Autor), Luo, Haipeng (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2018]
Temas:
Ramsey theory.
Combinatorial analysis.
Graph theory.
Théorie de Ramsey.
Analyse combinatoire.
MATHEMATICS > General.
Combinatorial analysis
Graph theory
Ramsey theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Some definitions and notations
  • Ramsey theory
  • Bi-color diagonal classical Ramsey numbers
  • Paley graphs and lower bounds for r(k; k)
  • Bi-color o-diagonal classical Ramsey numbers
  • Multicolor classical Ramsey numbers
  • Generalized Ramsey numbers
  • Folkman numbers
  • The Erdos-Hajnal conjecture
  • Other Ramsey type problems in graph theory
  • On Van der Waerden numbers and Szemeredi's theorem
  • More problems of Ramsey type in additive number theory
  • Sidon-ramsey numbers
  • Games in Ramsey theory
  • Local Ramsey theory
  • Set-coloring Ramsey theory
  • Other problems and conjectures
  • Epilogue.

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