2.3k citations · 3k across the 23 of their papers we have counts for
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Nested Subgraphs of Complex Networks
Bernat Corominas-Murtra, José F. F. Mendes, Ricard V. Solé
We analytically explore the scaling properties of a general class of nested subgraphs in complex networks, which includes the -core and the -scaffold, among others. We name s…
Diluted antiferromagnet in a ferromagnetic enviroment
M. O. Hase, J. F. F. Mendes
The question of robustness of a network under random ``attacks'' is treated in the framework of critical phenomena. The persistence of spontaneous magnetization of a ferromagnetic…
Transition from small to large world in growing networks
S. N. Dorogovtsev, P. L. Krapivsky, J. F. F. Mendes
We examine the global organization of growing networks in which a new vertex is attached to already existing ones with a probability depending on their age. We find that the networ…
Critical phenomena in complex networks
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes
The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from thos…
On the chaotic behavior of a generalized logistic -adic dynamical system
Farrukh Mukhamedov, José F. F. Mendes
In the paper we describe basin of attraction -adic dynamical system . Moreover, we also describe the Siegel discs of the system, since the structure of the orb…
BKT-like transition in the Potts model on an inhomogeneous annealed network
E. Khajeh, S. N. Dorogovtsev, J. F. F. Mendes
We solve the ferromagnetic q-state Potts model on an inhomogeneous annealed network which mimics a random recursive graph. We find that this system has the inverted Berezinskii--Ko…