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Conference object . 2009
License: CC BY NC ND
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License: CC BY NC ND
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Modem illumination of monotone polygons

Authors: Aichholzer, Oswin; Fabila Monroy, Ruy; Flores Peñaloza, David; Hackl, Thomas; Huemer, Clemens; Urrutia Galicia, Jorge; Vogtenhuber, Birgit;

Modem illumination of monotone polygons

Abstract

We study a generalization of the classical problem of illumination of polygons. Instead of modeling a light source we model a wireless device whose radio signal can penetrate a given number k of walls. We call these objects k-modems and study the minimum number of k-modems necessary to illuminate monotone and monotone orthogonal polygons. We show that every monotone polygon on n vertices can be illuminated with n 2k k-modems and exhibit examples of monotone polygons requiring l n 2k+2 m k-modems. For monotone orthogonal polygons, we show that every such polygon on n vertices l can be illuminated with n 2k+4 m k-modems and give examples which require l n 2k+4 m k-modems for k even and l n 2k+6 m for k odd.

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Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors, :Enginyeria de la telecomunicació::Telemàtica i xarxes d'ordinadors [Àrees temàtiques de la UPC], Modems, Polygons, Ordinadors, Xarxes d'

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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