A variety of different social, natural and technological systems can be described by the same mathematical framework. This holds from Internet to the Food Webs and to the connections between different company boards given by common directors. In all these situations a graph of the elements and their connections displays a universal feature of some few elements with many connections and many with few. This book reports the experimental evidence of these "Scale-free networks" and provides to students and researchers a corpus of theoretical results and algorithms to analyse and understand these features. The contents of this book and their exposition makes it a clear textbook for the beginners and a reference book for the experts.
1. Introduction to Graphs; 2. Graph structure: Communities; 3. Scale-invariance; 4. The Origin of power law functions; 5. Graph Generating Models; 6. Networks in the cell; 7. Ecological networks; 8. Geophysical networks; 9. Technological networks: Internet and WWW; 10. Collaborative Relational and Cognitive Networks; 11. Financial networks
The context and exposition make this a useful textbook for beginners, as well as a reference book for experts in a variety of disciplines CERN Courier