%0 Journal Article %T Channel Allocation in Wireless Networks with Directional Antennas %A Hong-Ning Dai %A Kam-Wing Ng %A Min-You Wu %J Journal of Sensor and Actuator Networks %D 2013 %I MDPI AG %R 10.3390/jsan2020213 %X In this paper, we study the channel allocation in multi-channel wireless ad hoc networks with directional antennas. In particular, we investigate the problem: given a set of wireless nodes equipped with directional antennas, how many channels are needed to ensure collision-free communications? We derive the upper bounds on the number of channels, which heavily depend on the node density and the interference ratio ( i.e., the ratio of the interference range to the transmission range). We construct several scenarios to examine the tightness of the derived bounds. We also take the side-lobes and back-lobes as well as the signal path loss into our analysis. Our results can be used to estimate the number of channels required for a practical wireless network (e.g., wireless sensor network) with directional antennas. %K multiple channels %K channel allocation %K wireless ad hoc networks %K wireless sensor networks %K directional antennas %K graph theory %U http://www.mdpi.com/2224-2708/2/2/213