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Trapping on modular scale-free and small-world networks with multiple hubs

Jin Chen, Meifeng Dai, Zhixiong Wen and Lifeng Xi

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 542-552

Abstract: In this paper we introduce a new kind of scale-free and small-world networks with multiple hubs based on classic networks and present the trapping problem on them. We show that in the multiple-hub networks, the growth of MFPT with the traps located on the hub or peripheral nodes displays quite a difference from the single-hub networks. Our conclusions are directed to possible applications in rumor or epidemic spreading phenomena.

Keywords: Trapping problem; Random walk; Multiple hubs; Scale-free networks; Small-world networks; Mean first-passage time (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:542-552

DOI: 10.1016/j.physa.2013.08.060

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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