… asymptotic connectivity is ( log … the connectivity problem when directional antennas are
used. We first assume that each node in the network randomly beamforms in one beam direction. …

… the connectivity problem when directional antennas are used. … , when directional antennas
use the optimal antenna pattern, the … using omnidirectional antennas. Moreover, to achieve …

… asymptotic connectivity problems of four networks without considering the scheduling like
some previous connectivity … The result illustrates that the use of directional antennas made the …

… network connectivity with various existing directional antenna … the local connectivity and the
overall connectivity of WSNs in … asymptotic connectivity of WSNs with directional antennas. …

… We derive sufficient conditions on the beam width of directional antennas so that the energy
consumption required to maintain k-connectivity … asymptotically in n with probability at least e …

… to maintain minimum connectivity—so again, we claim that directional antennas are not able
to … But for the asymptotics of interest in this work, changes of the transmission range by a …

… directional and smart antenna designs affect the asymptotic … media and multi-hop
connectivity, and may pose major … how directional and smart antennas can affect the asymptotic …

… -directional and directional antennas. In … connectivity of CRAHNs with directional antennas.
Although [42] analyzed the throughput on asymptotically connected CRAHNs with directional …

… They have shown that deploying directional antennas to multi-channel networks can greatly
improve the network capacity due to increased network connectivity and reduced interfer…

… Since we study an asymptotically large and isotropic graph, every node in the graph is
equivalent. k-connectivity reduces to how many neighbors a node has. Let{a1, a2,..., ap} be a set …