Percolation threshold on planar Euclidean Gabriel graphs

Christoph Norrenbrock ()
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Christoph Norrenbrock: Institut für Physik, Universität Oldenburg

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 5, 1-6

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2016-60728-0

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