We consider device-to-device (D2D) communications in millimeter-wave (mmWave) for the future fifth generation (5G) cellular\nnetworks. While the mm Wave systems can support multiple D2D pairs simultaneously through beamforming with highly\ndirectional antenna arrays, the mmWave channel is significantly more susceptible to blockage compared to microwave; mmWave\nchannel studies indicate that if line-of-sight (LoS) paths are blocked, reliable mm Wave communications may not be achieved for\nhigh data-rate applications. Therefore, assuming that an outage occurs in the absence of the LoS path between two wireless devices\nby obstructions, we focus on connectivity of the mmWave D2D networks.We consider two types of D2D communications: direct\nand indirect schemes. The connectivity performances of the two schemes are investigated in terms of (i) the probability to achieve\na fully connected network
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