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On the Solution of Moser's Problem in Four Dimensions

Published online by Cambridge University Press:  20 November 2018

Ashok K. Chandra
Ashok K. Chandra*
Affiliation:
Thomas J. Watson Research Center, Yorktown Heights, N.Y.
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Abstract

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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 4 , December 1973 , pp. 507 - 511
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Chvátal, V., Remarks on a problem of Moser, Canad. Math. Bull., Vol. 15 (1), 1972.Google Scholar
2. Moser, L., Problem 21, Proceedings of 1963 Number Theory Conference, University of Colorado, mimeographed, 79.Google Scholar
3. Moser, L., Problem P. 170, Canad. Math. Bull., Vol. 13, pg. 268 (1970).Google Scholar