A remark on the BA model of scale-free networks

dc.creatorTanimoto, Shinji
dc.date2009-02-10
dc.date2009-05-19
dc.date.accessioned2026-07-07T13:15:48Z
dc.date.available2026-07-07T13:15:48Z
dc.descriptionThe degree distributions of many real world networks follow power-laws whose exponents tend to fall between two and three. Within the framework of the Barabasi-Albert model (BA model), we explain this empirical observation by a simple fact. To that end we propose a modified BA model with one parameter that serves as a regulatory factor for the growth rate of added links in scale-free networks. The regulatory factor has something to do with the obvious fact that one link has two nodes. The modified model also allows to connect nodes by newly added links that do not necessarily emanate from new nodes. Another related model using the master equation is also given, from which the same power-law degree distribution can be derived.
dc.description4 pages, correction to previous versions
dc.identifierhttps://arxiv.org/abs/0902.1570
dc.identifierhttp://arxiv.org/abs/0902.1570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230585
dc.subjectPhysics and Society
dc.titleA remark on the BA model of scale-free networks
dc.typetext

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