English

Cyclic Topology in Complex Networks

Physics and Society 2009-11-11 v1 Statistical Mechanics

Abstract

We propose a cyclic coefficient RR which represents the cyclic characteristics of complex networks. If the network forms a perfect tree-like structure then RR becomes zero. The larger value of RR represents that the network is more cyclic. We measure the cyclic coefficients and the distributions of the local cyclic coefficient for both various real networks and the representative network models and characterize the cyclic structures of them.

Keywords

Cite

@article{arxiv.physics/0503168,
  title  = {Cyclic Topology in Complex Networks},
  author = {Hyun-Joo Kim and Jin Min Kim},
  journal= {arXiv preprint arXiv:physics/0503168},
  year   = {2009}
}