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

Date and Time: Thursday, November 17, 2022, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Charlotte Knierim

Oriented Discrepancy of Hamilton cycles

Let G be an n-vertex graph of minimum degree δ(G) ≥ n/2, where n is sufficiently large. We show that for every ξ > 0 and every orientation of the edges of G, there exists a Hamilton cycle of $G$ with at least δ(G) - ξn edges oriented in accordance with the direction of the cycle. This proves an asymptotic version of a conjecture of Gishboliner, Krivelevich, and Michaeli.
This is joint work with Micha Christoph, Dan Hefetz and Stefanie Gerke

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