2.3k citations · 3.1k across the 26 of their papers we have counts for
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Percolation on correlated networks
A. V. Goltsev, S. N. Dorogovtsev, J. F. F. Mendes
We reconsider the problem of percolation on an equilibrium random network with degree-degree correlations between nearest-neighboring vertices focusing on critical singularities at…
Simple reaction-diffusion population model on scale-free networks
An-Cai Wu, Xin-Jian Xu, J. F. F. Mendes +1
We study a simple reaction-diffusion population model [proposed by A. Windus and H. J. Jensen, J. Phys. A: Math. Theor. 40, 2287 (2007)] on scale-free networks. In the case of full…
Travel and tourism: Into a complex network
J. I. L. Miguens, J. F. F. Mendes
It is discussed how the worldwide tourist arrivals, about 10% of world's domestic product, form a largely heterogeneous and directed complex network. Remarkably the random network…
Empirical Analysis and Evolving Model of Bipartite Networks
Peng Zhang, Menghui Li, J. F. F. Mendes +2
Many real-world networks display a natural bipartite structure. Investigating it based on the original structure is helpful to get deep understanding about the networks. In this pa…
Organization of modular networks
S. N. Dorogovtsev, J. F. F. Mendes, A. N. Samukhin +1
We examine the global organization of heterogeneous equilibrium networks consisting of a number of well distinguished interconnected parts--``communities'' or modules. We develop a…
Exact results and new insights for models defined over small world networks. First and second order phase transitions. II: Applications
M. Ostilli, J. F. F. Mendes
We apply a novel method (presented in part I) to solve several small-world models for which the method can be applied analytically: the Viana-Bray model (which can be seen as a 0 o…