Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

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

Mittagsseminar Talk Information

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

Duration: 30 minutes

Location: OAT S15/S16/S17

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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