Multilayer Network Science

From Cells to Societies

Oriol Artime, Barbara Benigni, Giulia Bertagnolli, Valeria d'Andrea, Riccardo Gallotti, Arsham Ghavasieh, Sebastian Raimondo, Manlio De Domenico

• Publisher: Cambridge University Press
• Year: 2022
• Print ISBN: 9781009087308
• eBook ISBN: 9781009092821
• Topic: Physical Sciences
• Subtopic: Mathematical & Computational Physics

Networks are convenient mathematical models to represent the structure of complex systems, from cells to societies. In the last decade, multilayer network science – the branch of the field dealing with units interacting in multiple distinct ways, simultaneously – was demonstrated to be an effective modeling and analytical framework for a wide spectrum of empirical systems, from biopolymers networks (such as interactome and metabolomes) to neuronal networks (such as connectomes), from social networks to urban and transportation networks. In this Element, a decade after one of the most seminal papers on this topic, the authors review the most salient features of multilayer network science, covering both theoretical aspects and direct applications to real-world coupled/interdependent systems, from the point of view of multilayer structure, dynamics and function. The authors discuss potential frontiers for this topic and the corresponding challenges in the field for the next future.

Table of contents

• Cover
• Title Page
• Copyright Page
• Multilayer Network Science
• Contents
• 1 Introduction
• 2 Representation of Multilayer Systems
• 3 Multilayer Structural Analysis
• 4 Multilayer Dynamics
• 5 Frontiers
• 6 Conclusions
• Appendix A Master Stability Function (MSF) Formalism
• Appendix B Kuramoto Model on Networks
• Appendix C Transitions in Multilayer Systems
• References