Rank-based deactivation model for networks with age

doi:10.1088/1674-1056/22/1/018903

Abstract We study the impact of age on network evolution which couples addition of new nodes and deactivation of old ones. During evolution, each node experiences two stages: active and inactive. The transition from the active state to the inactive one is based on the rank of the node. In this paper, we adopt age as a criterion of ranking, and propose two deactivation models that generalize previous researches. In model A, the older active node possesses the higher rank, whereas in model B, the younger active node takes the higher rank. We make comparative study between the two models through the node-degree distribution.

Keywords: complex networks deactivation model rank

Received: 29 August 2012
Revised: 26 September 2012
Accepted manuscript online:

PACS:	89.75.Fb	(Structures and organization in complex systems)
	89.75.Hc	(Networks and genealogical trees)

Fund: Project supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20093108110004) and the National Natural Science Foundation of China (Grant Nos. 10805033 and 10902065).

Corresponding Authors: Xu Xin-Jian
E-mail: xinjxu@shu.edu.cn

Cite this article:

Wang Xue-Wen (王学文), Yang Guo-Hong (杨国宏), Li Xiao-Lin (李小林), Xu Xin-Jian (许新建) Rank-based deactivation model for networks with age 2013 Chin. Phys. B 22 018903

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