Shortest paths and load scaling in scale-free trees
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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Physical Review E, Volume 66, issue 2, pp. 1-8
Abstract
The average node-to-node distance of scale-free graphs depends logarithmically on N, the number of nodes, while the probability distribution function of the distances may take various forms. Here we analyze these by considering mean-field arguments and by mapping the m=1 case of the Barabási-Albert model into a tree with a depth-dependent branching ratio. This shows the origins of the average distance scaling and allows one to demonstrate why the distribution approaches a Gaussian in the limit of N large. The load, the number of the shortest distance paths passing through any node, is discussed in the tree presentation.Description
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Szabo, G J, Alava, M & Kertesz, J 2002, 'Shortest paths and load scaling in scale-free trees', Physical Review E, vol. 66, no. 2, 026101, pp. 1-8. https://doi.org/10.1103/PhysRevE.66.026101