  Vehicular ad-hoc networks (VANETs) have become an extensively studied topic
in contemporary research. One of the fundamental problems that has arisen in
such research is understanding the network statistical properties, such as the
cluster number distribution and the cluster size distribution. In this paper,
we analyze these characteristics in the case in which vehicles are located on a
straight road. Assuming the Rayleigh fading model and a probabilistic model of
intervehicle distance, we derive probabilistic distributions of the
aforementioned connectivity characteristics, as well as distributions of the
biggest cluster and the number of disconnected vehicles. All of the results are
confirmed by simulations carried out for the realistic values of parameters.
