Stochastic Weighted Fractal Networks

Research output: Working paper

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Abstract

In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks. Networks of both classes can be completely analytically characterized in terms of the involved parameters. The proposed algorithms improve and extend the framework of weighted fractal networks recently proposed in (T. Carletti and S. Righi, in press Physica A, (2010)).
Original languageEnglish
Publication statusPublished - 2010

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Fractal
Fractal Set
Weighted Networks
Complex Networks
Sharing
Model

Keywords

  • Fractals
  • Stochastic processes
  • Complex networks

Cite this

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title = "Stochastic Weighted Fractal Networks",
abstract = "In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks. Networks of both classes can be completely analytically characterized in terms of the involved parameters. The proposed algorithms improve and extend the framework of weighted fractal networks recently proposed in (T. Carletti and S. Righi, in press Physica A, (2010)).",
keywords = "Fractals, Stochastic processes, Complex networks",
author = "Timoteo Carletti",
year = "2010",
language = "English",
type = "WorkingPaper",

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Stochastic Weighted Fractal Networks. / Carletti, Timoteo.

2010.

Research output: Working paper

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AB - In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks. Networks of both classes can be completely analytically characterized in terms of the involved parameters. The proposed algorithms improve and extend the framework of weighted fractal networks recently proposed in (T. Carletti and S. Righi, in press Physica A, (2010)).

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KW - Complex networks

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BT - Stochastic Weighted Fractal Networks

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