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- Shlomo Havlin, N. A. M. Araujo, +4 authors H. Eugene Stanley
- Nature
- 2010

Complex networks have been studied intensively for a decade, but research still focuses on the limited case of a single, non-interacting network. Modern systems are coupled together and thereforeâ€¦ (More)

- YiPing Chen, G. Paul, Shlomo Havlin, Fredrik Liljeros, H. Eugene Stanley
- Physical review letters
- 2008

The problem of finding the best strategy to immunize a population or a computer network with a minimal number of immunization doses is of current interest. It has been accepted that the targetedâ€¦ (More)

- Don R. Baker, G. Paul, Sameet Sreenivasan, H. Eugene Stanley
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

Monte Carlo simulations are performed to determine the critical percolation threshold for interpenetrating square objects in two dimensions and cubic objects in three dimensions. Simulations areâ€¦ (More)

- Tooru Tanizawa, G. Paul, R. Cohen, Shlomo Havlin, H. Eugene Stanley
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

We study the robustness of complex networks to multiple waves of simultaneous (i) targeted attacks in which the highest degree nodes are removed and (ii) random attacks (or failures) in whichâ€¦ (More)

- G. Paul, Sameet Sreenivasan, H. Eugene Stanley
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2005

Using Monte Carlo simulations we calculate fc, the fraction of nodes that are randomly removed before global connectivity is lost, for networks with scale-free and bimodal degree distributions. Ourâ€¦ (More)

- Maksim Kitsak, Shlomo Havlin, G. Paul, Massimo Riccaboni, Fabio Pammolli, H. Eugene Stanley
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We study the betweenness centrality of fractal and nonfractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality C of nodes isâ€¦ (More)

Using Monte-Carlo simulations, we 4nd the continuum percolation threshold of a threedimensional mixture of spheres of two di$erent sizes. We 4x the value of r, the ratio of the volume of the smallerâ€¦ (More)

Banana poka vines (Possifloro mollisrimo) and k i i y u pass (Pennirerurn clondestinum) can limitkoa(Acociokoo)rreforertation in Hawaii. Performanceofplanted koaseedlings was studied in relation toâ€¦ (More)

Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize theâ€¦ (More)

- YiPing Chen, G. Paul, +4 authors H. Eugene Stanley
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2007

We apply percolation theory to a recently proposed measure of fragmentation F for social networks. The measure F is defined as the ratio between the number of pairs of nodes that are not connected inâ€¦ (More)