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Twitter Event Networks and Surgery Constructions

Presented by: 
Mike Steele
Friday 15th July 2016 - 10:00 to 10:30
INI Seminar Room 1
The models considered here were motivated by graphs that one constructs by building edges according to Twitter "retweets" i.e. messages that are forwarded with comments. When one considers the largest connected component in such a graph then one finds empirically that some vertex has degree that grows linearly over time, but other vertex degrees grow at a rate that is algebraic and sublinear. A construction that uses surgery on multi-type branching processes gives us a one parameter class of dynamic graph models that captures the "superstar" phenomena that one find in the retweet graphs.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons