[Club2] IDP, Lars Hupel: Tue., Nov. 20, 14:00, Room 01.09.014 ("Alonzo Church")
Andrei Popescu
uuomul at yahoo.com
Sat Nov 10 00:50:16 CET 2012
Dear All,
On Tuesday Nov. 20, Lars Hupel will give his Diploma presentation on random graph probabilities.
Best regards, Andrei
Lars Hupel Proofs about Random Graphs in Isabelle: Subgraph Containment (IDP)====================================================Tue. Nov. 20, 14:00, Room 01.09.014 ("Alonzo Church")
Random graphs are graphs with a fixed number of vertices,where each edge is present with a fixed probability. We are interestedin the probability that a random graph contains a certain pattern, forexample a circle or a clique. A very high edge probability gives rise toperhaps too many edges (which degrades performance for many algorithms),whereas a low edge probability might result in a disconnected graph. Inthis work, we
proved a theorem about a threshold probability such that ahigher edge probability will asymptotically almost surely produce arandom graph containing the desired subgraph.
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