Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Prof. Emo Welzl and Prof. Bernd GÃ¤rtner

Mittagsseminar Talk Information |

**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)

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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