Title: Randomized coverings of a convex body with its homothetic copies, and illumination
Abstract: We present a probabilistic model of illuminating a convex body by independently distributed light sources. In addition to recovering C.A. Rogers' upper bounds for the illumination number, we improve previous estimates of J. Januszewski and M. Naszodi for a generalized version of the illumination parameter.
Publication Year: 2016
Publication Date: 2016-06-28
Language: en
Type: preprint
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Cited By Count: 7
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