The illumination conjecture and its extensions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The illumination conjecture and its extensions

Authors:	Károly Bezdek

Affiliation:	2101. Department of Mathematics and Statistics, University of Calgary & Department of Geometry E?tv?s Loránd University, 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada & Pázmány Péter sétány 1/c H-1117 Budapest, Hungary

Abstract:	Summary The Illumination Conjecture was raised independently by Boltyanski and Hadwiger in 1960. According to this conjecture any ]]>]]>d$-dimensional convex body can be illuminated by at most $2^d$ light sources. This is an important fundamental problem. The paper surveys the state of the art of the Illumination Conjecture.

Keywords:	covering by homothets illumination by affine subspaces
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