# Coast to Coast Seminar Series: "Spectral Analysis and Dynamical Behavior of Complex Networks"

*Dr. Ljiljana Trajkovic*

### Abstract

Discovering properties of the Internet topology is important for evaluating performance of various network protocols and applications. The discovery of power-laws and the application of spectral analysis to the Internet topology data indicate a complex behavior of the underlying network infrastructure that carries a variety of the Internet applications. In this talk, we present analysis of datasets collected from the Route Views and RIPE projects. The analysis of collected data shows certain historical trends in the development of the Internet topology. While values of various power-laws exponents have not substantially changed over the recent years, spectral analysis of matrices associated with Internet graphs reveals notable changes in the clustering of Autonomous Systems and their connectivity.