The maximal degree in a Poisson-Delaunay graph

Gilles Bonnet, Nicolas Chenavier

We investigate the maximal degree in a Poisson-Delaunay graph in ${\mathbf{R}}^d$, $d\ge 2$, over all nodes in the window ${\mathbf{W}}_{\rho }:={\rho }^{1/d}[0,1{]}^d$ as $\rho$ goes to infinity. Th…