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.
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
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.
