English

Effects of Weight on Structure and Dynamics in Complex Networks

Statistical Mechanics 2007-05-23 v1

Abstract

Link weight is crucial in weighted complex networks. It provides additional dimension for describing and adjusting the properties of networks. The topological role of weight is studied by the effects of random redistribution of link weights based on regular network with initial homogeneous weight. The small world effect emerges due to the weight randomization. Its effects on the dynamical systems coupled by weighted networks are also investigated. Randomization of weight can increase the transition temperature in Ising model and enhance the ability of synchronization of chaotic systems dramatically.

Keywords

Cite

@article{arxiv.cond-mat/0601495,
  title  = {Effects of Weight on Structure and Dynamics in Complex Networks},
  author = {Menghui Li and Ying Fan and Dahui Wang and Na Liu and Daqing Li and Jinshan Wu and Zengru Di},
  journal= {arXiv preprint arXiv:cond-mat/0601495},
  year   = {2007}
}

Comments

11 pages, 5 figures

R2 v1 2026-07-22T11:27:48.683Z