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Gdańsk University of Technology

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On some open questions for Ramsey and Folkman numbers

We discuss some of our favorite open questions about Ramsey numbers and a related problem on edge Folkman numbers. For the classical two-color Ramsey numbers, we first focus on constructive bounds for the difference between consecutive Ramsey numbers. We present the history of progress on the Ramsey number R(5,5) and discuss the conjecture that it is equal to 43.

Authors

  • Stanisław Radziszowski,
  • Xu Xiaodong

Additional information

DOI
Digital Object Identifier link open in new tab 10.1007/978-3-319-31940-7_4
Category
Publikacja monograficzna
Type
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Language
angielski
Publication year
2016

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