Scale-free properties of weighted networks with connectivity-driven topology

@article{Jeewski2005ScalefreePO,
  title={Scale-free properties of weighted networks with connectivity-driven topology},
  author={Wojciech Jeżewski},
  journal={Physica A-statistical Mechanics and Its Applications},
  year={2005},
  volume={354},
  pages={672-680}
}
  • W. Jeżewski
  • Published 8 December 2004
  • Mathematics
  • Physica A-statistical Mechanics and Its Applications

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References

SHOWING 1-10 OF 45 REFERENCES

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 2000

Phys

  • Rev. Lett. 85
  • 2000

Size-dependent degree distribution of a scale-free growing network.

TLDR
The simplest model of scale-free growing networks is proposed and it is demonstrated that a trace of initial conditions - a hump near cutoff of the degree distribution at k(cut) approximately t(beta)--may be found for any network size.

Stationary and nonstationary properties of evolving networks with preferential linkage.

  • W. Jeżewski
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
TLDR
It is argued that nonstationary effects are not unlikely in real networks, although these effects may not be apparent, especially in networks with a slowly varying mean degree.

Evolution of networks with aging of sites

  • DorogovtsevMendes
  • Mathematics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 2000
TLDR
It is found both from simulation and analytically that the network shows scaling behavior only in the region alpha<1, when alpha increases from -infinity to 0, and the exponent gamma of the distribution of connectivities grows from 2 to the value for the network without aging.

Internet: Growth dynamics of the World-Wide Web

TLDR
It is found that web pages are distributed among sites according to a universal power law: many sites have only a few pages, whereas very few sites have hundreds of thousands of pages.

Highly clustered scale-free networks.

  • K. KlemmV. Eguíluz
  • Computer Science
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
TLDR
The model shows stylized features of real-world networks: power-law distribution of degree, linear preferential attachment of new links, and a negative correlation between the age of a node and its link attachment rate.

Extracting hidden information from knowledge networks.

TLDR
A method allowing us to reconstruct individual tastes of customers from a sparsely connected network of their opinions on products, services, or each other is developed, using a simple Gaussian model.

Weighted evolving networks.

TLDR
This paper introduces and investigates the scaling properties of a class of models which assign weights to the links as the network evolves, and indicates that asymptotically the total weight distribution converges to the scaling behavior of the connectivity distribution, but this convergence is hampered by strong logarithmic corrections.