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.
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Sune Lehmann is pursuing his Ph.D. at the Technical University of Denmark. In 2003 he received his M.Sc. degree from the Niels Bohr Institute in Copenhagen, Denmark. Currently, his research are primarily the physics of complex systems, in particular complex networks in sociology and biophysics.
Andrew D. Jackson is professor of theoretical physics at the Niels Bohr Institute, Copenhagen, Denmark. His primary research activities are related to non-perturbative quantum field theories and the theory of strongly interacting quantum fluids including Bose-Einstein condensates. His work on complex systems, particularly that related to random matrix theory, is motivated by these primary interests. Jackson has an active interest in the history of science and has published books and articles on Hans Christian Orsted. He is a Fellow of the American Physical Society and a member of the Royal Danish Academy of Sciences and Letters.
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Lehmann, S., Jackson, A.D. Live and Dead Nodes. Comput Math Organiz Theor 11, 161–170 (2005). https://doi.org/10.1007/s10588-005-3942-1
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DOI: https://doi.org/10.1007/s10588-005-3942-1