Title of the course: Ramsey Numbers
Instructor: Prof. John Gimbel, Prof. Tınaz Ekim
Institution: University of Alaska, Boğaziçi University
Dates: 28 July – 3 August 2025
Prerequisites: Graph Theory and/or Discrete Math background (it can be the Graph Theory lecture starting the week of July 21)
Level: Advanced undergraduate and Graduate
Abstract: Ramsey numbers: introduction, classical results and asymptotics, Extensions of Ramsey numbers: multiple colors, hypergraphs, graph Ramsey numbers. Applications to number theory and geometry (happy end problem), Defective Ramsey numbers: introduction and asymptotics. Defective Ramsey numbers in graph classes: exact approaches and computational aspects including graph enumeration.
Language: English