Table of contents for The structure and dynamics of networks / Mark Newman, Albert-László Barabási, Duncan Watts, editors.


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Chapter 1. Introduction                                            1
1.1  A brief history of the study of networks                    1
1.2  The "new" science of networks                               4
1.3   Overview of the volume                                     8
Chapter 2. Historical developments                                 9
Chain-links, F. Karinthy                                        21
Connectivity of random nets, R. Solomonoff and A. Rapoport      27
On the evolution of random graphs, P. Erd6s and A. R6nyi        38
Contacts and influence, I. de S. Pool and M. Kochen             83
An experimental study of the small world problem, J. Travers and S. Milgram  130
Networks of scientific papers, D. J. de S. Price               149
Famous trails to Paul Erdos, R. de Castro and J. W. Grossman   155
Chapter 3. Empirical Studies                                     167
Diameter of the world-wide web, R. Albert, H. Jeong, and A.-L. BarabAsi  182
Graph structure in the web, A. Broder et al.                   183
On power-law relationships of the internet topology, M. Faloutsos, P. Faloutsos,
and C. Faloutsos                                        195
Classes of small-world networks, L.A.N. Amaral, A. Scala, M. BarthB6lmy, and
H. E. Stanley                                          207
The large-scale organization of metabolic networks, H. Jeong et al.  211
The small world of metabolism, A. Wagner and D. Fell           215
Network motifs: Simple building blocks of complex networks, R. Milo et al.  217
The structure of scientific collaboration networks, M. E. J. Newman  221
The web of human sexual contacts, F. Liljeros et al.           227
Chapter 4. Models of networks                                    229
4.1   Random graph models                                      229
A critical point for random graphs with a given degree sequence, M.
Molloy and B. Reed                                 240
A random graph model for massive graphs, W. Aiello, F. Chung, and L. Lu  259
Random graphs with arbitrary degree distributions and their applica-
tions, M.E.J. Newman, S. H. Strogatz, and D. J. Watts  269
4.2  The small-world model                                     286
Collective dynamics of 'small-world' networks, D. J. Watts and S. H.
Strogatz                                          301
Small-world networks: Evidence for a crossover picture, M. Barthel6my
and L.A.N. Amaral                                 304
Comment on 'Small-world networks: Evidence for crossover picture,'
A. Barrat, 1999                                   308
Scaling and percolation in the small-world network model, M.E.J. New-
man and D. J. Watts                               310
On the properties of small-world networks, A. Barrat and M. Weigt, 2000  321
4.3   Models of scale-free networks                            335
Emergence of scaling in random networks, A.-L. Barabasi and R. Albert  349
Structure of growing networks with preferential linking, S. N. Dorogov-
tsev, J. F. F. Mendes, and A. N. Samukhin         353
Connectivity of growing random networks, P. L. Krapivsky, S. Redner,
and F. Leyvraz                                    357
Competition and multiscaling in evolving networks, G. Bianconi and
A.-L. BarabAsi                                    361
Universal behavior of load distribution in scale-free networks, K.-I. Goh,
B. Kahng, and D. Kim                              368
Spectra of "real-world" graphs: Beyond the semicircle law, I. J. Farkas,
I. Derdnyi, A.-L. Barabdsi, and T. Vicsek         372
The degree sequence of a scale-free random graph process, B. Bol-
lobAs, 0. Riordan, J. Spencer, and G. TusnBdy     384
A model of large-scale proteome evolution, R.V. Sol6, R. Pastor-Satorras,
E. Smith, and T. B. Kepler                        396
Modeling of protein interaction networks, A. V6zquez, A. Flammini,
A. Maritan, and A. Vespignani                     408
Chapter 5. Applications                                          415
5.1   Epidemics and rumors                                    415
5.2   Robustness of networks                                  424
5.3   Searching networks                                      428
Epidemics with two levels of mixing, F. Ball, D. Mollison, and G. Scalia-
Tomba                                             436
The effects of local spatial structure on epidemiological invasions, M.
J. Keeling                                        480
Small world effect in an epidemiological model, M. Kuperman and G.
Abramson                                          489
Epidemic spreading in scale-free networks, R. Pastor-Satorras and
A. Vespignani                                     493
A simple model of global cascades on random networks, D. J. Watts  497
Error and attack tolerance of complex networks, R. Albert, H. Jeong,
and A.-L. Barabdsi                                503
Resilience of the Internet to random breakdowns, R. Cohen, K. Erez,
D. ben-Avraham, and S. Havlin                     507
Network robustness and fragility: Percolation on random graphs, D. S.
Callaway, M. E. J. Newman, S. H. Strogatz, and D. J. Watts  510
Authoritative sources in a hyperlinked environment, J. M. Kleinberg  514
Search in power-law networks, L. A. Adamic, R. M. Lukose, A. R.
Puniyani, and B. A. Huberman                      543
Navigation in a small world, J. M. Kleinberg            551
Chapter 6. Outlook                                              553



Library of Congress subject headings for this publication: Computer networks, Dynamics, Social networks, Complexity (Philosophy)Dynamique, Réseaux sociaux, Réseaux d'ordinateurs, Complexité (Philosophie)