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Small-World Networks: Links with long-tailed distributions

S. Jespersen·A. Blumen
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Abstract

Small-world networks (SWN), obtained by randomly adding to a regular structure additional links (AL), are of current interest. In this article we explore (based on physical models) a new variant of SWN, in which the probability of realizing an AL depends on the chemical distance between the connected sites. We assume a power-law probability distribution and study random walkers on the network, focussing especially on their probability of being at the origin. We connect the results to Lévy Flights, which follow from a mean field variant of our model.

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BibTeXRIS

S. Jespersen, A. Blumen. 2000-09-06. Small-World Networks: Links with long-tailed distributions. https://doi.org/10.1103/physreve.62.6270

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