English

The fractal/small-world dichotomy in real-world networks

Statistical Mechanics 2009-11-10 v1 Disordered Systems and Neural Networks

Abstract

We draw attention to a clear dichotomy between small-world networks exhibiting exponential neighborhood growth, and fractal-like networks where neighborhoods grow according to a power law. This distinction is observed in a number of real-world networks, and is related to the degree correlations and geographical constraints. We conclude by pointing out that the status of human social networks in this dichotomy is far from clear.

Keywords

Cite

@article{arxiv.cond-mat/0406070,
  title  = {The fractal/small-world dichotomy in real-world networks},
  author = {Gábor Csányi and Balázs Szendröi},
  journal= {arXiv preprint arXiv:cond-mat/0406070},
  year   = {2009}
}

Comments

15 pages, 7 figures