Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/7770
Title: Network growth model with intrinsic vertex fitness
Authors: Smolyarenko, IE
Hoppe, K
Rodgers, GJ
Keywords: Network growth models;Intrinsic node fitness;Network theory;Nodes
Issue Date: 2013
Publisher: American Physical Society
Citation: Physical Review E, 88(1), 012805, 2013
Abstract: We study a class of network growth models with attachment rules governed by intrinsic node fitness. Both the individual node degree distribution and the degree correlation properties of the network are obtained as functions of the network growth rules. We also find analytical solutions to the inverse, design, problems of matching the growth rules to the required (e.g., power-law) node degree distribution and more generally to the required degree correlation function. We find that the design problems do not always have solutions. Among the specific conditions on the existence of solutions to the design problems is the requirement that the node degree distribution has to be broader than a certain threshold and the fact that factorizability of the correlation functions requires singular distributions of the node fitnesses. More generally, the restrictions on the input distributions and correlations that ensure solvability of the design problems are expressed in terms of the analytical properties of their generating functions.
Description: © 2013 American Physical Society
URI: http://pre.aps.org/abstract/PRE/v88/i1/e012805
http://bura.brunel.ac.uk/handle/2438/7770
DOI: http://dx.doi.org/10.1103/PhysRevE.88.012805
ISSN: 1539-3755
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers

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