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

Date and Time: Tuesday, March 23, 2004, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Zsolt Katona (Eötvös Lorand University, Budapest)

Width of a scale-free tree

Consider the random graph model of Barabási and Albert, where we add a new vertex in every step and connect it to some old vertices with probabilities proportional to their degrees. If we connect it to only one of the old vertices this will be a tree. These graphs have been shown to have a power law degree distribution, the same as observed in some large real-world networks.

We are interested in the width of the tree and show that it is W(n) ~ n/sqrt(Pi log n) and this also holds for a slight generalization of the model with another constant. Then we see how this theoretical result can be applied to directory trees.

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