The Nature of Complex Networks

Sergey N. Dorogovtsev graduated from Leningrad State University in theoretical physics. He was a researcher at the Ioffe Institute, St Petersburg, Russia, from which he obtained a PhD, and at the University of Porto. Currently, he is a senior scientist at the University of Aveiro, Portugal. He is responsible for a number of results on the statistical mechanics of complex networks and on critical phenomena in disordered systems.José F. F. Mendes is currently Professor of Physics at the University of Aveiro, Portugal. He studied at the University of Porto from which he graduated in Physics in 1987, and obtained his PhD in Physics from the University of Porto in 1995. He then completed postdoctoral studies at the University of Boston in 1995/1996. He is Fellow of Academia Europaea (2012), Network Science Society (2019) and American Physical Society (2020). He has received the CSS Senior Scientific Award by Complex Systems Society (2020).

• Preface 1: First insight 2: Graphs 3: Classical random graphs 4: Equilibrium networks 5: Evolving networks 6: Connected components 7: Epidemics and spreading phenomena 8: Networks of networks 9: Spectra and communities 10: Walks and search 11: Temporal networks 12: Cooperative systems on networks 13: Inference and reconstruction 14: What's next? Further Reading Appendices A-G References

The current volume by Dorogovtsev and Mendes takes quite a broad view of complex networks to include the analysis of finite and infinite graphs, directed and undirected graphs, multigraphs, hypergraphs, and even simplicial complexes, as networks scale according to increasing N or in some other fashion. The writing style is that of physics and especially statistical mechanics with frequent connections made to physical concepts such as Bose-Einstein condensation...The current volume can especially serve as a useful reference on complex networks from a physics perspective.