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- M E J Newman, Steven H. Strogatz, Duncan J. Watts
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Recent work on the structure of social networks and the internet has focused attention on graphs with distributions of vertex degree that are significantly different from the Poisson degreeâ€¦ (More)

- M E J Newman
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

We study empirically the time evolution of scientific collaboration networks in physics and biology. In these networks, two scientists are considered connected if they have coauthored one or moreâ€¦ (More)

- M E J Newman
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Using computer databases of scientific papers in physics, biomedical research, and computer science, we have constructed networks of collaboration between scientists in each of these disciplines. Inâ€¦ (More)

- M E J Newman
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Using computer databases of scientific papers in physics, biomedical research, and computer science, we have constructed networks of collaboration between scientists in each of these disciplines. Inâ€¦ (More)

- M E J Newman, Duncan J. Watts, Steven H. Strogatz
- Proceedings of the National Academy of Sciencesâ€¦
- 2002

We describe some new exactly solvable models of the structure of social networks, based on random graphs with arbitrary degree distributions. We give models both for simple unipartite networks, suchâ€¦ (More)

- M E J Newman, Duncan J. Watts
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

In this paper we study the small-world network model of Watts and Strogatz, which mimics some aspects of the structure of networks of social interactions. We argue that there is one nontrivialâ€¦ (More)

- Duncan Callaway, M E J Newman, Steven H. Strogatz, Duncan J. Watts
- Physical review letters
- 2000

Recent work on the Internet, social networks, and the power grid has addressed the resilience of these networks to either random or targeted deletion of network nodes or links. Such deletionsâ€¦ (More)

- M E J Newman, Cristopher Moore, Duncan J. Watts
- Physical review letters
- 2000

The small-world network model is a simple model of the structure of social networks, which possesses characteristics of both regular lattices and random graphs. The model consists of aâ€¦ (More)

- M E J Newman, Stephanie Forrest, Justin Balthrop
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

Many computer viruses spread via electronic mail, making use of computer users' email address books as a source for email addresses of new victims. These address books form a directed social networkâ€¦ (More)

- Cristopher Moore, M E J Newman
- Physical review. E, Statistical physics, plasmasâ€¦
- 2000

We study some simple models of disease transmission on small-world networks, in which either the probability of infection by a disease or the probability of its transmission is varied, or both. Theâ€¦ (More)