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

Date and Time: Friday, October 21, 2011, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Tibor Szabó (Freie Universität Berlin)

Sharp threshold for bounded degree spanning trees with many leaves or a long bare path

We show that any given n-vertex tree with bounded maximum degree and linearly many leaves is contained in the binomial random graph G(n,p) asymptotically almost surely for some p=(1+o(1))log n/n. Furthermore we also show that G(n,p) contains asymptotically almost surely every bounded degree spanning tree T that has a path of linear length whose vertices have degree two in T. This represents joint work with Dan Hefetz and Michael Krivelevich.

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