Evolution of network from node division and generation
Sun Hui-Jun(孙会君)a)b) and Wu Jian-Jun(吴建军)a)b)
a State Key Laboratory of Rail Traffic Control and Safety,Beijing Jiaotong University, Beijing 100044, China; b School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
Abstract Aimed at lowering the effect of `rich get richer' in scale-free networks with the Barabási and Albert model, this paper proposes a new evolving mechanism, which includes dividing and preference attachment for the growth of a network. A broad scale characteristic which is independent of the initial network topology is obtained with the proposed model. By simulating, it is found that preferential attachment causes the appearance of the scale-free characteristic, while the dividing will decrease the power-law behaviour and drive the evolution of broad scale networks.
Received: 31 July 2006
Revised: 09 October 2006
Accepted manuscript online:
PACS:
89.75.Hc
(Networks and genealogical trees)
Fund: The authors are grateful to X M Zhao for many
valuable discussions. Project
supported by the National Basic Research Program
of China (Grant No~2006CB705500), % the National Outstanding Young Investigator Grant of China (Grant No 70225005),
the National Natural Science Foundation of China (Grant No~70501005),
the Special Researcher Foundation of Beijing Jiaotong University
(Grant No~48111).
Cite this article:
Sun Hui-Jun(孙会君) and Wu Jian-Jun(吴建军) Evolution of network from node division and generation 2007 Chinese Physics 16 1581
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