A new community-based evolving network model

Zhou Xie, Xiang Li and Xiaofan Wang

Physica A: Statistical Mechanics and its Applications, 2007, vol. 384, issue 2, 725-732

Abstract: In order to describe the community structure upon the dynamical evolution of complex networks, we propose a new community based evolving network (CBEN) model having increasing communities with preferential mechanisms of both community sizes and node degrees, whose cumulative distribution and raw distribution follow scale-invariant power-law distributions P(S⩾s)∼s−ν and P(k)∼k−γ with exponents of ν⩾1 and γ∈[2, +∞), respectively. Besides, complex networks generated by the CBEN model are hierarchically structured, which cover the range from disassortative networks to assortative networks.

Keywords: Complex network; Community; Preferential growth; Scale free; Hierarchy (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:384:y:2007:i:2:p:725-732

DOI: 10.1016/j.physa.2007.05.031

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