(Friday, May 31, 2002)
Math Annex 1100
School of Mathematics
University of Minnesota
The architecture of complex networks
Many complex systems in nature and society have an underlying network topology. For example, metabolism can be thought of as a network of substances (metabolites and enzymes) connected by chemical reactions. The World Wide Web is a network of web pages and documents connected by
hyperlinks, and groups of people form social networks in which the nodes are individuals and the edges are social relations. While traditionally large-scale networks were modeled by random graphs, it is increasingly recognized that their topology is much richer, and displays universal
properties that suggest robust organizing principles. In this talk I will present the main advances in the theory
of complex networks, focusing on evolving network models that concentrate on the principles governing the
assembly and time-evolution of real networks.
The speaker is a candidate for a joint faculty position in
departments of Mathematics and Physics & Astronomy.