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Titlebook: Connected Dominating Set: Theory and Applications; Ding-Zhu Du,Peng-Jun Wan Textbook 2013 Springer Science+Business Media New York 2013 ap

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Geometric Hitting Set and Disk Cover, by sensing disks. When all sensing disks have the same size, a classic result indicates that . 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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Ingeniero Agrónomo Arnoldo E. Díaz Khuller [62] showed that . has no polynomial-time (. ln.)-approximation for 0 < . < 1 unless . where . is the number of vertices in input graph. Moreover, they designed a 2-stage greedy algorithm with performance ratio 3 + lnδ where δ is the maximum vertex degree of input graph. The effort on impro
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Geology, climate, and soils of Patagonia,s sensor network, which has a mathematical model, the unit ball graph. A unit ball graph consists of vertices lying in the three-dimensional Euclidean space. There exists an edge between two vertices . and . if and only if the distance between them, .(., .) is at most one.
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