Geometric Hitting Set and Disk Cover

Ding-Zhu Du and Peng-Jun Wan
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Ding-Zhu Du: University of Texas, Dallas
Peng-Jun Wan: Illinois Institute of Technology

Chapter Chapter 10 in Connected Dominating Set: Theory and Applications, 2013, pp 161-167 from Springer

Abstract: 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.

Keywords: Disk Cover; Voronoi Cell; Restricted Perturbation; Target Disk; Perturbation Range (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-5242-3_10

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