Title: Spreading Dynamics on Small-World Networks with a Power Law Degree Distribution
Speaker: Alexei Vazquez, Institute for Advanced Study
Date: December 4, 2006 12:00 - 1:30 pm
Location: DIMACS Center, CoRE Bldg, Room 431, Rutgers University, Busch Campus, Piscataway, NJ
I study the spreading dynamics on small world networks with a power law degree distribution. I demonstrate that when the second moment of the degree distribution diverges with increasing the graph size there is a qualitative change in the growth pattern, deviating from the standard exponential growth. First, the spreading dynamics is extensive, meaning that the average number of vertices reached by the spreading process becomes of the order of the graph size in a time scale that vanishes in the large graph size limit. Second, the temporal evolution is governed by a polynomial growth, with a degree determined by the characteristic distance between vertices in the graph.
see: DIMACS Computational and Mathematical Epidemiology Seminar Series 2006 - 2007