Proceedings of the Twelfth ACM International Symposium on Mobile Ad Hoc Networking and Computing 2011
DOI: 10.1145/2107502.2107517
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Wireless coverage with disparate ranges

Abstract: Coverage has been one of the most fundamental yet challenging issues in wireless networks. Given a set of nodes and a set of disks of disparate radii, the problem Minimum Disk Cover seeks a disk cover of all nodes with minimum cardinality. We present the first polynomial time approximation scheme. We also consider a classical generalization where each input disk is associated with a positive cost, the problem Min-Cost Disk Cover seeks a disk cover of all nodes with minimum total cost. We present a randomized a… Show more

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Cited by 29 publications
(9 citation statements)
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References 26 publications
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“…For every activated sensor in solution , assign transmission range level ( ) according to (16) Step 3. Evaluate each solution in using objective functions and connectivity constrain; Step 4.…”
Section: Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…For every activated sensor in solution , assign transmission range level ( ) according to (16) Step 3. Evaluate each solution in using objective functions and connectivity constrain; Step 4.…”
Section: Resultsmentioning
confidence: 99%
“…Although all of the above-mentioned researches have achieved the coverage requirement, some of them have not considered the network lifetime [12,20,22,27] and the network connectivity [16,[21][22][23]. Some works such as [14,15,[17][18][19][20]24] require that the transmission range is at least twice the size of the sensing range; otherwise, the connectivity may not be guaranteed.…”
Section: Related Workmentioning
confidence: 99%
See 1 more Smart Citation
“…For the problem Minimum Disk Cover, there exists a polynomial (1 + )-approximation algorithm [24] by using a Local Search method as well.…”
Section: Minimum Strongly Dominating Setmentioning
confidence: 99%
“…In wireless networks, discrete points coverage in the unit disc graphs is much studied, as unit disc graphs comply with real wireless model and have many favorable features. An overview of this problem can be found in the literature review of [21], [22]. An important branch of the above problem which attracts much attention is to find a dominating point set in unit disc graphs.…”
Section: Related Workmentioning
confidence: 99%