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Logarithmic growth dynamics in software networks

Sergi Valverde·Ricard V. Sole
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Abstract

In a recent paper, Krapivsky and Redner (Phys. Rev. E, 71 (2005) 036118) proposed a new growing network model with new nodes being attached to a randomly selected node, as well to all ancestors of the target node. The model leads to a sparse graph with an average degree growing logarithmically with the system size. Here we present compeling evidence for software networks being the result of a similar class of growing dynamics. The predicted pattern of network growth, as well as the stationary in- and out-degree distributions are consistent with the model. Our results confirm the view of large-scale software topology being generated through duplication-rewiring mechanisms. Implications of these findings are outlined.

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Sergi Valverde, Ricard V. Sole. 2005-11-07. Logarithmic growth dynamics in software networks. https://doi.org/10.1209/epl%2Fi2005-10314-9

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