Live and Dead Nodes

Authors: Lehmann, S.¹; Jackson, A.²

Source: Computational & Mathematical Organization Theory, Volume 11, Number 2, July 2005 , pp. 161-170(10)

Publisher: Springer

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Abstract:

In this paper, we explore the consequences of a distinction between ‘live' and ‘dead' network nodes; ‘live' nodes are able to acquire new links whereas ‘dead' nodes are static. We develop an analytically soluble growing network model incorporating this distinction and show that it can provide a quantitative description of the empirical network composed of citations and references (in- and out-links) between papers (nodes) in the SPIRES database of scientific papers in high energy physics. We also demonstrate that the death mechanism alone can result in power law degree distributions for the resulting network.

Keywords: power law; network evolution; networks; network models; citations

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10588-005-3942-1

Affiliations: 1: Technical University of Denmark, Informatics and Mathematical Modeling, Building 321, DK-2800, Kgs, Lyngby, Denmark, Email: lehmann@nbi.dk 2: The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark, Email: jackson@nbi.dk

Publication date: 2005-07-01