Norrenbrock, Christoph (2016) Percolation threshold on planar Euclidean Gabriel graphs. The European physical journal / B, 89 (5). p. 111. ISSN 1434-6036
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Abstract
In the present article, numerical simulations have been performed to find the bond and site percolation thresholds on two-dimensional Gabriel graphs (GG) for Poisson point processes. GGs belong to the family of ``proximity graphs'' and are discussed, e.g., in context of the construction of backbones for wireless ad-hoc networks. Finite-size scaling analyses have been performed to find the critical points and critical exponents ν, β and γ. The critical exponents obtained this way verify that the associated universality class is that of standard 2D percolation.
| Item Type: | Article |
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| Uncontrolled Keywords: | percolation, phase transition |
| Subjects: | Generalities, computers, information > Computer science, internet Science and mathematics > Physics |
| Divisions: | Faculty of Mathematics and Science > Institute of Physics (IfP) |
| Date Deposited: | 15 Feb 2017 10:01 |
| Last Modified: | 15 Feb 2017 10:01 |
| URI: | https://oops.uni-oldenburg.de/id/eprint/2966 |
| URN: | urn:nbn:de:gbv:715-oops-30470 |
| DOI: | 10.1140/epjb/e2016-60728-0 |
| Nutzungslizenz: |
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