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- Sergey N. Dorogovtsev, Jose F. F. Mendes, A. N. Samukhin
- Physical review letters
- 2000

The model of growing networks with the preferential attachment of new links is generalized to include initial attractiveness of sites. We find the exact form of the stationary distribution of theâ€¦ (More)

- Sergey N. Dorogovtsev, Alexander V. Goltsev, Jose F. F. Mendes
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

We find that scale-free random networks are excellently modeled by simple deterministic graphs. Our graph has a discrete degree distribution (degree is the number of connections of a vertex), whichâ€¦ (More)

The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperativeâ€¦ (More)

- Sergey N. Dorogovtsev, Jose F. F. Mendes, A. N. Samukhin
- ArXiv
- 2002

We develop a statistical mechanics approach for random networks with uncorrelated vertices. We construct equilibrium statistical ensembles of such networks and obtain their partition functions andâ€¦ (More)

- Sergey N. Dorogovtsev, Jose F. F. Mendes
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

Motivated by data on the evolution of the Internet and World Wide Web we consider scenarios of self-organization of nonlinearly growing networks into free-scale structures. We find that theâ€¦ (More)

- Alexander V. Goltsev, Sergey N. Dorogovtsev, J. G. Oliveira, Jose F. F. Mendes
- Physical review letters
- 2012

Using the susceptible-infected-susceptible model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseasesâ€¦ (More)

- Sergey N. Dorogovtsev, Jose F. F. Mendes
- ArXiv
- 2002

In many real growing networks the mean number of connections per vertex increases with time. The Internet, the Word Wide Web, collaboration networks, and many others display this behavior. Such aâ€¦ (More)

- Sergey N. Dorogovtsev, Jose F. F. Mendes
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

The scaling behavior of scale-free evolving networks, arising in areas such as communications, scientific citations, collaborations, etc., is studied. We derive universal scaling relations describingâ€¦ (More)

- Sergey N. Dorogovtsev, Jose F. F. Mendes, A. N. Samukhin
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

We describe how to calculate the sizes of all giant connected components of a directed graph, including the strongly connected one. In particular, the World Wide Web is a directed network. Theâ€¦ (More)

- Gareth J. Baxter, Sergey N. Dorogovtsev, Alexander V. Goltsev, Jose F. F. Mendes
- Physical review letters
- 2012

We reveal the nature of the avalanche collapse of the giant viable component in multiplex networks under perturbations such as random damage. Specifically, we identify latent critical clustersâ€¦ (More)