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Nonlinear Dynamics of Networks

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Community Structure in Time-Dependent, Multiscale, and Multiplex Networks

Mason Porter

University of Oxford


Abstract:   We develop a formulation to detect communities in a very broad setting by studying general dynamical processes on networks. We create a new framework of network quality functions that allows one to study the community structure of arbitrary "multislice" networks, which are combinations of individual networks coupled through additional links that connect each node in one network slice to itself in other slices. This framework allows one for the first time to study community structure in a very general setting that encompasses networks that evolve in time, have multiple types of ties (multiplexity), and have multiple scales.

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