title: Investigation of the forest-fire model on a small-world network.
abstract: It is shown that the forest-fire model of Bak et al. run on a square lattice network with additional long-range interactions in the spirit of a small-world network results in a scale-free system reminiscent of self-organized criticality without recourse to fine tuning. As the number of these long-range interactions is increased, the cluster size distribution exponent is found to decrease in magnitude as the small-world regime is entered, indicating a change in its universality class. It is suggested that such a model could have applicability in the study of disease spreading in human populations.
authors.affiliation: Department of Physics and Astronomy, University of Wales, Cardiff, United Kingdom. ig224@cam.ac.uk
authors.forename: I
authors.initials: I
authors.lastname: Graham
authors.forename: C C
authors.initials: CC
authors.lastname: Matthai