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

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  • Chen, Chen

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.

Suggested Citation

  • Chen, Chen, 2007. "The origin of preferential attachment and the generalized preferential attachment for weighted networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 709-716.
  • Handle: RePEc:eee:phsmap:v:377:y:2007:i:2:p:709-716
    DOI: 10.1016/j.physa.2006.11.082
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    Cited by:

    1. Rémi Stellian & Jenny P. Danna‐Buitrago, 2020. "Financial distress, free cash flow, and interfirm payment network: Evidence from an agent‐based model," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 25(4), pages 598-616, October.

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