Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, May 22, 2018, 12:15 pm

Duration: 45 minutes

Location: CAB G51

Speaker: Daan Nilis

An inductive construction for Hamilton cycles in Kneser graphs

The Kneser graph K(n, r) has as vertices all r-subsets of an n-set with two vertices adjacent if the corresponding subsets are disjoint. It is conjectured that all connected Kneser graphs, except K(5, 2), are Hamiltonian. In this talk the focus will be on understanding the construction that Johnson uses to relate Hamiltonicity of K(2r+2s, r) to Hamiltonicity of K(2a+s, a) for a < = r/2.

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