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From regular lattice to scale free network - yet another algorithm

Materials Science 2007-05-23 v1

Abstract

The Watts-Strogatz algorithm transferring a regular lattice to the small world network is modified by introducing preferential rewiring constrained by connectivity demand. The probability to link to/ unlink form a node is dependent on a vertex degree and adjusted by some threshold. For each threshold value there exists a probability at which the resulting stationary network has degree distribution with power-law decay in large interval of degrees.

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Cite

@article{arxiv.cond-mat/0411343,
  title  = {From regular lattice to scale free network - yet another algorithm},
  author = {Danuta Makowiec},
  journal= {arXiv preprint arXiv:cond-mat/0411343},
  year   = {2007}
}

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5 pages