图书简介
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.
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
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