  In this work, percolation properties of device-to-device (D2D) networks in
urban environments are investigated. The street system is modeled by a
Poisson-Delaunay triangulation (PDT). Users are of two types: given either by a
Cox process supported by the edges of the PDT or by a Bernoulli process on the
vertices of the PDT (i.e. on streets and at crossroads). Percolation of the
resulting connectivity graph G p,$\lambda$,r is interpreted as long-range
connection in the D2D network. According to the parameters p, $\lambda$, r of
the model, we state several percolation regimes in Theorem 1 (see also Fig. 3).
This work completes and specifies results of Le Gall et al [23]. To do it, we
take advantage of a percolation tool, inspired by enhancement techniques, used
to our knowledge for the first time in the context of communication networks.
