A local-world evolving hypernetwork model

doi:10.1088/1674-1056/23/1/018901

Abstract Complex hypernetworks are ubiquitous in the real system. It is very important to investigate the evolution mechanisms. In this paper, we present a local-world evolving hypernetwork model by taking into account the hyperedge growth and local-world hyperedge preferential attachment mechanisms. At each time step, a newly added hyperedge encircles a new coming node and a number of nodes from a randomly selected local world. The number of the selected nodes from the local world obeys the uniform distribution and its mean value is m. The analytical and simulation results show that the hyperdegree approximately obeys the power-law form and the exponent of hyperdegree distribution is γ=2+1/m. Furthermore, we numerically investigate the node degree, hyperedge degree, clustering coefficient, as well as the average distance, and find that the hypernetwork model shares the scale-free and small-world properties, which shed some light for deeply understanding the evolution mechanism of the real systems.

Keywords: local-world evolving hypernetwork model power-law form small-world property

Received: 28 May 2013
Revised: 30 July 2013
Accepted manuscript online:

PACS:	89.75.Hc	(Networks and genealogical trees)
	89.65.Ef	(Social organizations; anthropology ?)
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 71071098, 91024026, and 71171136). Liu Jian-Guo is supported by the Shanghai Rising-Star Program, China (Grant No. 11QA1404500), and the Leading Academic Discipline Project of Shanghai City, China (Grant No. XTKX2012).

Corresponding Authors: Liu Jian-Guo
E-mail: liujg004@ustc.edu.cn

Cite this article:

Yang Guang-Yong (杨光勇), Liu Jian-Guo (刘建国) A local-world evolving hypernetwork model 2014 Chin. Phys. B 23 018901

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