Colloquium: Peter J. Mucha, UNC-Chapel Hill

Peter J. Mucha

The University of North Carolina at Chapel Hill

Department of Mathematics

Communities in Multilayer Networks

Community detection describes the organization of a network in terms of patterns of connection, identifying tightly connected structures known as communities. A wide variety of methods for community detection have been proposed, with a number of software packages available for performing community detection. In the past decade, there has been increased interest in multilayer networks, a general framework that can be used to describe networks with multiple types of relationships, that change in time, or that network together multiple kinds of networks. We describe various generalizations of community detection to multilayer networks, including results about detectability limits and a new post-processing procedure to explore the parameter space of multilayer modularity, along with pointers to using community detection in applications.