Abstract
Consider a wireless cellular network consisting of small, densely scattered base stations. A user u is uniquely covered by a base station b if u is the only user within distance r of b. This makes it possible to assign the user u to the base station b without interference from any other user u′. We investigate the maximum possible proportion of users who are uniquely covered. We solve this problem completely in one dimension and provide bounds, approximations and simulation results for the two-dimensional case.
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