Continuum Percolation in the Relative Neighborhood Graph

Jean-Michel Billiot (1) , Franck Corset (1) , Eric Fontenas (1)

1 SAGAG - Statistique Appliquée et de Géométrie Aléatoire de Grenoble

In the present study, we establish the existence of nontrivial site percolation threshold in the Relative Neighborhood Graph (RNG) for Poisson stationary point process with unit intensity in the plane.

Mots clés: Percolation; Relative Neighborhood Graph; Poisson Point Process

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Jean-Michel Billiot, Franck Corset, Eric Fontenas. Continuum Percolation in the Relative Neighborhood Graph. SSIAB8 - Spatial Statistics and Image Analysis in Biology, May 2010, Copenhague, Denmark. ⟨hal-00475284⟩