Percolation threshold on planar Euclidean Gabriel graphs
Institut für Physik, Universität Oldenburg,
a e-mail: firstname.lastname@example.org
Received in final form: 15 February 2016
Published online: 2 May 2016
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2016