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Degree correlations in growing networks with deletion of nodes

Degree correlations in growing networks with deletion of nodes
 
Garcia Domingo, Josep Lluís ; Juher, David ; Saldaña, Joan
2008

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Enllaç permanent: http://hdl.handle.net/10854/2253
 
Versió de l'editor: https://doi.org/10.1016/j.physd.2007.10.012
 

Abstract

In this paper we study the degree distribution and the two-node degree correlations in growing networks generated via a general linear preferential attachment of new nodes together with a uniformly random deletion of nodes. By using a continuum approach we show that, under some suitable combinations of parameters (deletion rate ...»»»»
In this paper we study the degree distribution and the two-node degree correlations in growing networks generated via a general linear preferential attachment of new nodes together with a uniformly random deletion of nodes. By using a continuum approach we show that, under some suitable combinations of parameters (deletion rate and node attractiveness), the degree distribution not only loses its scale-free character but can even be supported on a small range of degrees. Moreover, we obtain new results on two-vertex degree correlations showing that, for degree distributions with finite variance, such correlations can change under a nonselective removal of nodes.^^^^

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Article

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(c) Elsevier
 
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Citation:

Garcia Domingo, Josep Lluis, David Juher, and Joan Saldaña Meca. "Degree Correlations in Growing Networks with Deletion of Nodes." Physica D-Nonlinear Phenomena 237.5 (2008): 640-51.