Abstract
Given a target region Ω and a set of n homogeneous sensors, we study the problem of finding a minimum subset of sensors such that they induce a connected graph and cover Ω. We present a new method to replace the target region Ω by a set of target points, \(\mathcal {P}\). In addition, we will give a new analysis for some existing approximation algorithms of the above minimum connected sensor cover problem. The new analysis will give better approximation performance ratios.
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Du, Y.L., Wu, L. Connected sensor cover and related problems. Peer-to-Peer Netw. Appl. 10, 1299–1303 (2017). https://doi.org/10.1007/s12083-016-0442-7
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DOI: https://doi.org/10.1007/s12083-016-0442-7