BYU

Abstract by Adam Fidler

Personal Infomation


Presenter's Name

Adam Fidler

Degree Level

Undergraduate

Co-Authors

Ethan Walker
Erik Hannesson
Jordan Sellers

Abstract Infomation


Department

Mathematics

Faculty Advisor

Ben Webb

Title

Modeling Communities in Real World Networks

Abstract

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.