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arXiv · 1706.02619

Mobile vs. point guards

Ervin Győri·Tamás Róbert Mezei
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Abstract

We study the problem of guarding orthogonal art galleries with horizontal mobile guards (alternatively, vertical) and point guards, using "rectangular vision". We prove a sharp bound on the minimum number of point guards required to cover the gallery in terms of the minimum number of vertical mobile guards and the minimum number of horizontal mobile guards required to cover the gallery. Furthermore, we show that the latter two numbers can be calculated in linear time.

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Ervin Győri, Tamás Róbert Mezei. 2018-11-23. Mobile vs. point guards. https://doi.org/10.1007/s00454-018-9996-x

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