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

Date and Time: Tuesday, February 21, 2012, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Yury Person (FU Berlin)

Powers of Hamilton Cycles in Pseudorandom Graphs

We study sufficient conditions when a pseudorandom graph contains a kth power of a hamilton cycle (and thus a K_{k+1}-factor). In particular our results improve upon the known bounds for (n,d,\lambda) graphs, i.e. those d-regular graphs with n vertices, whose second largest eigenvalue (in absolute value) of the adjacency matrix is at most \lambda. In my talk I will give a motivation for study of the problems of this type and an outline of the proof. This is joint work with Peter Allen, Julia Böttcher, Hiep Han and Yoshiharu Kohayakawa.

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