# Role of dimensionality in preferential attachment growth in the Bianconi–Barabási model

@article{Nunes2017RoleOD, title={Role of dimensionality in preferential attachment growth in the Bianconi–Barab{\'a}si model}, author={Thiago C. Nunes and S. G. A. Brito and Luciano R. da Silva and Constantino Tsallis}, journal={Journal of Statistical Mechanics: Theory and Experiment}, year={2017}, volume={2017}, pages={093402} }

Scale-free networks are quite popular nowadays since many systems are well represented by such structures. In order to study these systems, several models were proposed. However, most of them do not take into account the node-to-node Euclidean distance, i.e. the geographical distance. In real networks, the distance between sites can be very relevant, e.g. those cases where it is intended to minimize costs. Within this scenario we studied the role of dimensionality d in the Bianconi–Barabasi…

## 13 Citations

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The Boltzmann–Gibbs exponential factor is generically substituted by its q -generalisation, and is recovered in the $$q=1$$ q = 1 limit when the nonlocal effects fade away.

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We present a study of social networks based on the analysis of Brazilian and Portuguese family names (surnames). We construct networks whose nodes are names of families and whose edges represent…

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- MathematicsPhysica A: Statistical Mechanics and its Applications
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Abstract We present a study of social networks based on the analysis of Brazilian and Portuguese family names (surnames). We construct networks whose nodes are names of families and whose edges…

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- PhysicsEPL (Europhysics Letters)
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The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range interactions, are investigated on d-dimensional lattices (d = 1, 2, and 3), through molecular dynamics.…

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- Medicine, PhysicsPhysical review. E
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Beyond Boltzmann–Gibbs–Shannon in Physics and Elsewhere

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The present review focuses on nonadditive entropies generalizing Boltzmann–Gibbs statistical mechanics and their predictions, verifications, and applications in physics and elsewhere.

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