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

Date and Time: Thursday, December 08, 2011, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Ueli Peter

The Degree Sequence of Hyperbolic Random Graphs

Recently, Papadopoulos et al. introduced the following random graph model: Distribute $n$ points uniformly at random on the hyperbolic disc of radius $R$ and connect two points if and only if their hyperbolic distance is at most $R$.
We discuss why this might be a reasonable model for large real world graphs (i.e. the web graph, social networks and biological networks) by studying four different graph properties. We then present our analysis of the degree sequence of hyperbolic random graphs. This is joint work with Luca Gugelmann and Konstantinos Panagiotou.

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