The availability of large data sets has allowed researchers to
uncover complex properties such as large scale fluctuations and
heterogeneities in many networks, leading to the breakdown of
standard theoretical frameworks and models. Until recently these
systems were considered as haphazard sets of points and
connections. Recent advances have generated a vigorous research
effort in understanding the effect of complex connectivity patterns
on dynamical phenomena. This book presents a comprehensive account
of these effects. A vast number of systems, from the brain to
ecosystems, power grids and the internet, can be represented as
large complex networks. This book will interest graduate students
and researchers in many disciplines, from physics and statistical
mechanics, to mathematical biology and information science. Its
modular approach allows readers to readily access the sections of
most interest to them, and complicated maths is avoided so the text
can be easily followed by non-experts in the subject.
目錄:
1. Preliminaries: networks and graphs
2. Networks and complexity
3. Network models
4. Introduction to dynamical processes: theory and simulation
5. Phase transitions on complex networks
6. Resilience and robustness of networks
7. Synchronization phenomena in networks
8. Walking and searching on networks
9. Epidemic spreading in population networks
10. Social networks and collective behaviour
11. Traffic on complex networks
12. Networks in biology
13. Postface: critically examining complex networks science
Appendixes
References
Index.