On the Solution of Moser's Problem in Four Dimensions
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 507-511

Voir la notice de l'article provenant de la source Cambridge University Press

The problem of finding the largest set of nodes in a d-cube of side 3 such that no three nodes are collinear was proposed by Moser. Small values of d (viz., d ≤,3) resulted in elegant symmetric solutions. It is shown that this does not remain the case in 4 dimensions where at most 43 nodes can be chosen, and these must not include the center node.
Chandra, Ashok K. On the Solution of Moser's Problem in Four Dimensions. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 507-511. doi: 10.4153/CMB-1973-082-3
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[1] 1. Chvátal, V., Remarks on a problem of Moser, Canad. Math. Bull., Vol. 15 (1), 1972. Google Scholar

[2] 2. Moser, L., Problem 21, Proceedings of 1963 Number Theory Conference, University of Colorado, mimeographed, 79. Google Scholar

[3] 3. Moser, L., Problem P. 170, Canad. Math. Bull., Vol. 13, pg. 268 (1970). Google Scholar

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