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Local rewiring rules for evolving complex networks

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  • Colman, E.R.
  • Rodgers, G.J.

Abstract

The effects of link rewiring are considered for the class of directed networks where each node has the same fixed out-degree. We model a network generated by three mechanisms that are present in various networked systems; growth, global rewiring and local rewiring. During a rewiring phase a node is randomly selected, one of its out-going edges is detached from its destination then re-attached to the network in one of two possible ways; either globally to a randomly selected node, or locally to a descendant of a descendant of the originally selected node. Although the probability of attachment to a node increases with its connectivity, the probability of detachment also increases, the result is an exponential degree distribution with a small number of outlying nodes that have extremely large degree. We explain these outliers by identifying the circumstances for which a set of nodes can grow to very high degree.

Suggested Citation

  • Colman, E.R. & Rodgers, G.J., 2014. "Local rewiring rules for evolving complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 80-89.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:80-89
    DOI: 10.1016/j.physa.2014.08.046
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    Cited by:

    1. Yin, Hongli & Zhang, Siying, 2016. "Minimum structural controllability problems of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 467-476.
    2. Jiao, Bo & Nie, Yuan-ping & Shi, Jian-mai & Huang, Cheng-dong & Zhou, Ying & Du, Jing & Guo, Rong-hua & Tao, Ye-rong, 2016. "Scaling of weighted spectral distribution in deterministic scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 632-645.

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    Keywords

    Random networks; Rewiring;

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