Abstract
We will give an upper bound of the maximum number of points in the 5-dimensional unit cube so that all mutual distances are at least 1.
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References
V. Bálint and V. Bálint Jr., On the number of points at distance at least 1 in the unit cube, Geombinatorics, 12 (2003), 157–166.
P. Brass, W. Moser and J. Pach, Research problems in discrete geometry, Springer Verlag, New York, 2005.
R. K. Guy, Problems, The geometry of linear metric spaces, Lecture Notes in Math. 490, Spinger, Berlin, 1975, 233–244.
L. Moser, Poorly formulated unsolved problems of combinatorial geometry, Mimeographed, 1966.
W. Moser and J. Pach, Research problems in discrete geometry, Privately published collection of problems, 1994.
W. O. J. Moser, Problems, problems, problems, Discrete Appl. Math., 31 (1991), 201–225.
S. S. Ryškov, S. A. Čepanov and N. N. Jakovlev, On the disjointness of point systems, Trudy Math. Inst. Steklov, 196 (1991), 147–155.
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Communicated by Á. Kurusa
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Joós, A. On the number of points at distance at least one in the 5-dimensional unit cube. ActaSci.Math. 76, 217–231 (2010). https://doi.org/10.1007/BF03549837
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DOI: https://doi.org/10.1007/BF03549837