Stationary random graphs with prescribed iid degrees on a spatial Poisson process
Stationary random graphs with prescribed iid degrees on a spatial Poisson process
Let $[\mathcal{P}]$ be the points of a Poisson process on $R^d$ and $F$ a probability distribution with support on the non-negative integers. Models are formulated for generating translation invariant random graphs with vertex set $[\mathcal{P}]$ and iid vertex degrees with distribution $F$, and the length of the edges is analyzed. …