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 M. Ghaffari, A. Steger and B. Sudakov)

Mittagsseminar Talk Information

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

Duration: 30 minutes

Location: CAB G51

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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