Complex Networks

Shlomo Havlin is a Professor in the Department of Physics at Bar-Ilan University, Israel. He is an editor for several physics journals, has published over 600 articles in international journals, co-authored and co-edited 11 books, and won numerous awards for his work including the Weizmann Prize (2009) and the APS Lilienfeld Prize (2010). Reuven Cohen is a Senior Lecturer in the Department of Mathematics at Bar-Ilan University, Israel. He has written many papers in the fields of complex networks, robot swarms, algorithms and communication networks, and has won several national and international prizes for his work.

1. Introduction; Part I. Random Network Models: 2. The Erdos–Renyi models; 3. Observations in real-world networks; 4. Models for complex networks; 5. Growing network models; Part II. Structure and Robustness of Complex Networks: 6. Distances in scale-free networks: the ultra small world; 7. Self-similarity in complex networks; 8. Distances in geographically embedded networks; 9. The network's structure - the generating function method; 10. Percolation on complex networks; 11. Structure of random directed networks - the bow tie; 12. Introducing weights: bandwidth allocation and multimedia broadcasting; Part III. Network Function: Dynamics and Applications: 13. Optimization of the network structure; 14. Epidemiological models; 15. Immunization; 16. Thermodynamic models on networks; 17. Spectral properties, transport, diffusion and dynamics; 18. Searching in networks; 19. Biological networks and network motifs; Part Appendix A. Probability theoretical methods; Appendix B. Asymptotics and orders of magnitude; Appendix C. Algorithms for network simulation and investigation; References; Index.