Abstract by Adam Fidler
Modeling Communities in Real World Networks
One of the purposes of network theory is to investigate the properties of real world networks. These networks are diverse and can be divided into various network classes: biological, social, technological, etc. One defining feature of real world networks is a statistically significant number of symmetries. Equitable partitions, a generalization of symmetries, are therefore also significant. However, prior to our work, there is little known regarding the occurrence and role of these communities. Here we discuss some of the statistical properties of real world networks. and compare them to statistics of specialized networks. We hope to be able to identify the specialization rules that best model growth and dynamics, as observed in real world networks.