Modularity and Dynamics on Complex Networks

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Renaud Lambiotte (University of Oxford) Michael T. Schaub (RWTH Aachen University, Germany)

Modularity and Dynamics on Complex Networks

Renaud Lambiotte (University of Oxford), Michael T. Schaub (RWTH Aachen University, Germany)

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English

Cambridge University Press
03 March 2022

Discrete mathematics; Statistical physics; Mathematical physics; Maths for computer scientists

Series: Elements in the Structure and Dynamics of Complex Networks

Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.

By: Renaud Lambiotte (University of Oxford), Michael T. Schaub (RWTH Aachen University, Germany)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Edition: New edition
Dimensions: Height: 229mm, Width: 152mm, Spine: 6mm
Weight: 160g
ISBN: 9781108733533
ISBN 10: 1108733530
Series: Elements in the Structure and Dynamics of Complex Networks
Pages: 75
Publication Date: 03 March 2022
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

1. Introduction; 2. Background Material; 3. Modularity, community detection and clustering in networks; 4. Time scale separation and dynamics on modular networks; 5. Symmetries and dynamics on modular networks; 6. Dynamical methods for assortative communities; 7. Dynamical methods for disassortative communities and general block structures; 8. Perspectives; References.