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: Thursday, December 07, 2023, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Micha Christoph

The Hamilton space of pseudorandom graphs

We show that if n is odd and p > Clog(n)/n, then with high probability Hamilton cycles in G(n,p) span its cycle space. More generally, we show this holds for a class of graphs satisfying certain natural pseudorandom properties. The proof is based on a novel idea of parity-switchers, which can be thought of as analogues of absorbers in the context of cycle spaces. This is joint work with Rajko Nenadov and Kalina Petrova.

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