Abstract
Min-Sensor-Cover is a special case of Min-Set-Cover, which can be seen as Min-Set-Cover in a geometric case with the base set formed by all targets and all given subsets of targets induced by sensing disks. When all sensing disks have the same size, a classic result indicates that Min-Sensor-Cover has PTAS. In this chapter, we introduce some related results in case that sensing disks may have different sizes. Those results may lead us to a sequence of research works on coverage and connected coverage with different sizes of sensing disks.
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Du, DZ., Wan, PJ. (2013). Geometric Hitting Set and Disk Cover. In: Connected Dominating Set: Theory and Applications. Springer Optimization and Its Applications, vol 77. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5242-3_10
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