Complex Networks

Alacant, December 2001

Bibliography (all in PDF format)

  1. Y. Ijiri and H.A. Simon, Skew distributions and the size of business firms, North-Holland, Amsterdam (1977).

  2. M.E.J. Newman, C. Moore, and D.J. Watts, Mean-Field Solution of the Small-World Network Model, Phys. Rev. Lett.  84 (2000) 3201.

  3. S. Bornholdt and T. Rohlf, Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics, Phys. Rev. Lett. 84 (2000) 6114.

  4. A. Arenas, A. Díaz-Guilera, and R. Guimerà, Communication in Networks with Hierarchical Branching, Phys. Rev. Lett. 86 (2001) 3196.

  5. R. Pastor-Satorras and A. Vespignani, Epidemic Spreading in Scale-Free Networks, Phys. Rev. Lett. 86 (2001) 3200.

  6. R. Pastor-Satorras and A. Vespignani, Epidemic dynamics and endemic states in complex networks, Phys. Rev. E 63 (2001)  066117 .

  7. I.J. Farkas, I. Derényi, A.-L. Barabási, and T. Vicsek, Spectra of "real-world" graphs: Beyond the semicircle law, Phys. Rev. E 64 (2001) 026704.

  8. S. Bornholdt and H. Ebel, World Wide Web scaling exponent from Simon's 1955 model, Phys. Rev. E 64 (2001) 035104.

  9. B. Bollobás, Random graphs, Cambridge University Press (2001).

  10. S. Strogatz, Exploring Complex Networks, Nature  410 (2001) 268.

  11. R. Albert and L.-A. Barabási, Statistical Mechanics of Complex Networks, preprint cond-mat/0106096.

  12. S.N. Dorogovtsev and J.F.F. Mendes, Evolution of random networks, preprint cond-mat/0106144.

Powerpoint presentations

  1. Introduction

  2. Random Graphs

  3. Small worlds

  4. Preferential attachment

  5. Dynamics + Communication