## Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Tuesday, January 26, 2016, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Pascal Su

## Bipartite Kneser graphs are Hamiltonian

For integers $k\ge1$ and $n\ge2k+1$ the bipartite Kneser graph is the graph with vertex set the $k$ and $n-k$ element subsets of $\{ 1,...,n \}$ and edges between two sets where the first is a subset of the other. It has been conjectured that this graph is Hamiltonian. Based on a recent result that proves that the middle levels graph (n=2k+1) is Hamiltonian we have shown that in fact all bipartite Kneser graphs are Hamiltonian.

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