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arXiv · 1503.05870

Complex networks from space-filling bearings

J. J. Kranz·N. A. M. Araújo·J. S. Andrade Jr.·H. J. Herrmann
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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.

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J. J. Kranz, N. A. M. Araújo, J. S. Andrade Jr., H. J. Herrmann. 2015-03-19. Complex networks from space-filling bearings. https://arxiv.org/abs/1503.05870

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