Multilayer Networks

Structure and Function
Erscheinungsjahr 2018
ISBN: 978-0-19-875391-9
Verlag: OXFORD UNIV PR

Buch, Englisch, 416 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 897 g

Multilayer networks is a rising topic in Network Science which characterizes the structure and the function of complex systems formed by several interacting networks. Multilayer networks research has been propelled forward by the wide realm of applications in social, biological and infrastructure networks and the large availability of network data, as well as by the significance of recent results, which have produced important advances in this rapidly growing field. This book presents a comprehensive account of this emerging field. It provides a theoretical introduction to the main results of multilayer network science.

Autoren/Hrsg.

Bianconi, Ginestra

Fachgebiete

• Mathematik | Informatik EDV | Informatik Digital Lifestyle Internet, E-Mail, Social Media
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein
• Mathematik | Informatik EDV | Informatik Informatik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik
• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein
• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

- Part I: Single and multilayer networks

- 1: Complex systems as multilayer networks

- Part II: Single networks

- 2: The structure of single networks

- 3: The dynamics on single networks

- Part III: Multilayer networks

- 4: Multilayer networks in nature, society and infrastuctures

- 5: The mathematical definition

- 6: Basic structural properties

- 7: Structural correlations of multiplex networks

- 8: Communities

- 9: Centrality measures

- 10: Multilayer network models

- 11: Interdependent multilayer networks

- 12: Classical percolation, generalized percolation and cascades

- 13: Epidemic spreading

- 14: Diffusion

- 15: Synchronization, non-linear dynamics and control

- 16: Opinion dynamics and game theory

- Appendix A: The Barabasi Albert model: the master equation

- Appendix B: Entropy and null models of single networks

- Appendix C: Growing multiplex networks: the master equation

- Appendix D: Percolation of interdependent networks

- Appendix E: Directed percolation of interdependent networks

- Appendix F: Immunization strategies on multiplex networks

- Appendix G: Spectrum of the Supra-Laplacian

Über Autor(innen)

Ginestra Bianconi is Reader (Associate Professor) in Applied Mathematics and Director of the MSc in Network Science at the School of Mathematical Sciences, Queen Mary University of London. Physicist by training, since 2001 she has made network theory and its applications her central subject of investigation publishing more than one hundred papers on the subject. Currently her research focuses on multilayer networks, network geometry and percolation theory.