Complex networks from space-filling bearings
Statistical Mechanics
2015-03-20 v1
Abstract
Two dimensional space-filling bearings are dense packings of disks that can rotate without slip. We consider the entire first family of bearings for loops of size four and propose a hierarchical construction of their contact network. We provide analytic expressions for the clustering coefficient and degree distribution, revealing bipartite scale-free behavior with tunable degree exponent depending on the bearing parameters. We also analyze their average shortest path and percolation properties.
Cite
@article{arxiv.1503.05870,
title = {Complex networks from space-filling bearings},
author = {J. J. Kranz and N. A. M. Araújo and J. S. Andrade and H. J. Herrmann},
journal= {arXiv preprint arXiv:1503.05870},
year = {2015}
}