The origin of preferential attachment and the generalized preferential attachment for weighted networks

Chen Chen

Physica A: Statistical Mechanics and its Applications, 2007, vol. 377, issue 2, 709-716

Abstract: In this paper, we first discuss the origin of preferential attachment. Then we establish the generalized preferential attachment (GPA) which has two new properties; first, it encapsulates both the topological and weight aspects of a network, which makes it is neither entirely degree preferential nor entirely weight preferential. Second, it can tell us not only the chance that each already-existing vertex being connected but also how much weight each new edge has. The GPA can generate four power-law distributions, besides the three for vertex degrees, vertex strengths, and edge weights, it yields a new power-law distribution for the subgraph degrees.

Keywords: Weighted network; Preferential attachment; Power law (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:377:y:2007:i:2:p:709-716

DOI: 10.1016/j.physa.2006.11.082

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