Abstract
Small-world networks (SWN), obtained by randomly adding to a regular structure additional links (AL), are of current interest. In this paper 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, focusing 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.
- Received 29 June 2000
DOI:https://doi.org/10.1103/PhysRevE.62.6270
©2000 American Physical Society