Asymptotic behavior of the node degrees in the ensemble average of adjacency matrix

Yukio Hayashi

Network Science, 2016, vol. 4, issue 3, 385-399

Abstract: Various important and useful quantities or measures that characterize the topological network structure are usually investigated for a network, then they are averaged over the samples. In this paper, we propose an explicit representation by the beforehand averaged adjacency matrix over samples of growing networks as a new general framework for investigating the characteristic quantities. It is applied to some network models, and shows a good approximation of degree distribution asymptotically. In particular, our approach will be applicable through the numerical calculations instead of intractable theoretical analyses, when the time-course of degree is a monotone increasing function like power law or logarithm.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:cup:netsci:v:4:y:2016:i:03:p:385-399_00

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