The effect of hub nodes on the community structure in scale-free networks

Yang Wang, Yanqing Hu, Zengru Di and Ying Fan

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 21, 4027-4033

Abstract: Many networks have two important features in common (1) the scale-free degree distribution P(k)∝k−α and (2) the community structure. In this paper, we focus on the relationship between these two features in complex networks. We first investigate the effect of the power law exponent α on the community structure in artificial networks and some real-world networks. Generally speaking, we find out that the networks with significant community structure, often have a large α. Second, hub nodes removal from scale-free networks affects the community structure more considerably than random removal. Our observation indicates that hubs may be the explanation for that scale-free networks often have fuzzy community structure.

Keywords: Complex network; Power law exponent; Hub nodes; Community structure (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:21:p:4027-4033

DOI: 10.1016/j.physa.2011.06.031

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