Covering the crosspolytope by equal balls |
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Authors: | Károly Böröczky Jr Ildikó Fábián Gergely Wintsche |
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Institution: | 2401. Alfréd Rényi Institute of Mathematics & Department of Geometry, E?tv?s Loránd University, Pázmány Péter sétány 1/c H-1117 Budapest, Hungary & H--1364, Budapest, P.O. Box 127, Hungary 2402. Alfréd Rényi Institute of Mathematics, H--1364, Budapest, P.O. Box 127, Hungary 2403. Department of Geometry, E?tv?s Loránd University, Pázmány Péter sétány 1/c H-1117 Budapest, Hungary
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Abstract: | Summary We determine the minimal radius of <InlineEquation ID=IE"1"><EquationSource Format="TEX"><!CDATA<InlineEquation ID=IE"2"><EquationSource
Format="TEX"><!CDATA<InlineEquation ID=IE"3"><EquationSource Format="TEX"><!CDATA<InlineEquation ID=IE"4"><EquationSource
Format="TEX"><!CDATA<InlineEquation ID=IE"5"><EquationSource Format="TEX"><!CDATA$]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>n=2$,
$d$ or $2d$ congruent balls,
which cover the $d$-dimensional crosspolytope. |
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Keywords: | covering by equal balls finite coverings |
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