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What and Who
Title:Analyzing the forest fire model
Speaker:Claire Mathieu
coming from:Ecole Normal Superieur, Paris
Speakers Bio:
Event Type:MPI Colloquium Series Distinguished Speaker
Visibility:D1, D2, D3, D4, D5, SWS, RG1, MMCI
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Level:AG Audience
Language:English
Date, Time and Location
Date:Thursday, 5 November 2015
Time:13:00
Duration:60 Minutes
Location:Saarbrücken
Building:E2.1 Center for Bioinformatics
Please note: New Room!
Room:01
Abstract
Distance in the Forest Fire Model How far are you from Eve?

Leskovec, Kleinberg and Faloutsos (2005) observed that many social
networks exhibit properties such as shrinking (i.e. bounded) diameter, densification, and
(power-law) heavy tail degree distributions. To explain these phenomena, they
introduced a generative model, called the Forest Fire model, and using
simulations showed that this model indeed exhibited these properties; however,
proving this rigorously was left as an open problem.

In this talk, we analyse one of these properties, shrinking diameter. We
define a restricted version of their model that incorporates the main features
that seem to contribute towards this property, and prove that the graphs
generated by this model exhibit shrinking distance to the seed graph. We prove that an even
simpler model, the random walk model, already exhibits this phenomenon.

This is joint work with Varun Kanade, Reut Levi, Zvi Lotker, and Frederik Mallmann-Trenn.

Claire Mathieu,
directrice de recherches CNRS et professeur attaché à l'ENS

Contact
Name(s):Kurt Mehlhorn
Video Broadcast
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Created by:Kurt Mehlhorn/AG1/MPII/DE, 07/10/2015 10:14 AMLast modified by:Uwe Brahm/MPII/DE, 11/05/2015 07:01 AM
  • Christina Fries, 11/02/2015 03:48 PM
  • Kurt Mehlhorn, 07/21/2015 12:04 PM
  • Kurt Mehlhorn, 07/10/2015 10:16 AM
  • Kurt Mehlhorn, 07/10/2015 10:14 AM -- Created document.