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Multilayer networks has become a central topic in Network Science. The book presents a comprehensive account of this emerging field. Multilayer networks are formed by several networks and include social networks, financial markets, multi-modal transportation systems, infrastructures, molecular networks, and the brain.
List of contents
- 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 infrastructures
- 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
- 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
About the author
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.
Summary
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.
