dc.contributor.author Bae, Sang Won dc.contributor.author Shin, Chan-Su dc.contributor.author Vigneron, Antoine E. dc.date.accessioned 2017-01-02T08:42:41Z dc.date.available 2017-01-02T08:42:41Z dc.date.issued 2016-03-22 dc.identifier.citation Bae SW, Shin C-S, Vigneron A (2016) Tight Bounds for Beacon-Based Coverage in Simple Rectilinear Polygons. Lecture Notes in Computer Science: 110–122. Available: http://dx.doi.org/10.1007/978-3-662-49529-2_9. dc.identifier.issn 0302-9743 dc.identifier.issn 1611-3349 dc.identifier.doi 10.1007/978-3-662-49529-2_9 dc.identifier.uri http://hdl.handle.net/10754/622262 dc.description.abstract We establish tight bounds for beacon-based coverage problems. In particular, we show that $\lfloor \frac{n}{6} \rfloor$ beacons are always sufficient and sometimes necessary to cover a simple rectilinear polygon P with n vertices. When P is monotone and rectilinear, we prove that this bound becomes $\lfloor \frac{n+4}{8} \rfloor$ . We also present an optimal linear-time algorithm for computing the beacon kernel of P. dc.description.sponsorship Work by S.W.Bae was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning (2013R1A1A1A05006927) and by the Ministry of Education (2015R1D1A1A01057220). Work by C.-S. Shin was supported by Research Grant of Hankuk University of Foreign Studies. Work by A. Vigneron was supported by KAUST base funding dc.publisher Springer Nature dc.title Tight Bounds for Beacon-Based Coverage in Simple Rectilinear Polygons dc.type Conference Paper dc.contributor.department Computer Science Program dc.contributor.department Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division dc.contributor.department Visual Computing Center (VCC) dc.identifier.journal LATIN 2016: Theoretical Informatics dc.conference.date 2016-04-11 to 2016-04-15 dc.conference.name 12th Latin American Symposium on Theoretical Informatics, LATIN 2016 dc.conference.location Ensenada, MEX dc.contributor.institution Department of Computer Science, Kyonggi University, Suwon, South Korea dc.contributor.institution Division of Computer and Electronic Systems Engineering, Hankuk University of Foreign Studies, Yongin, South Korea kaust.person Vigneron, Antoine E. dc.date.published-online 2016-03-22 dc.date.published-print 2016
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