The number of hops between source node and destination node is a key parameter in
studying multi-hop wireless networks. Although hop count in wireless ad-hoc networks
(AHNs) has been studied in the literature, no works on investigating the hop count
characteristics in cognitive environments have been carried out. In this paper, we model
cognitive radio ad-hoc networks (CRAHNs) as geometric random graphs and then propose
a framework for studying the hop count distribution and correlated connectivity of …

Due to the spatial–temporal spectrum mobility in cognitive radio ad-hoc networks
(CRAHNs), multi-hop communication paths among secondary users have to detour or even
be disconnected to avoid interfering with primary users. Consequently, the hop count in
CRAHNs shows distinguishing characteristics compared with those in conventional ad-hoc
networks (AHNs). Although the influences of beamforming on the connectivity of CRAHNs
have been studied in the literature, no research works on investigating the hop count in …