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In designing wireless multi-hop sensor networks, determining system parameters that guarantee a reasonably connected network is crucial. In this paper, the authors investigate node isolation in Wireless Optical Sensor Networks (WOSNs) as a topology attribute for network connectivity. Their results pertain to WOSNs modeled as random scaled sector graphs that employ directional broad beamed free space optics for point-to-point communication. They derive a generalized analytical expression relating the probability that no node is isolated to the physical layer parameters of node density, transmitter radius and angular beam width.
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