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Percolation threshold on planar Euclidean Gabriel graphs

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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.

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  1. Institut für Physik, Universität Oldenburg, 26111, Oldenburg, Germany

    Christoph Norrenbrock

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  1. Christoph Norrenbrock
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Correspondence to Christoph Norrenbrock.

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Norrenbrock, C. Percolation threshold on planar Euclidean Gabriel graphs. Eur. Phys. J. B 89, 111 (2016). https://doi.org/10.1140/epjb/e2016-60728-0

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  • DOI: https://doi.org/10.1140/epjb/e2016-60728-0

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