On the solution of Moser's problem in four dimensions, and related issues. A collection of two papers: On the solution of Moser's problem in four dimensions and Independent permutations as related to a problem of Moser and a theorem of Polya.

[摘要] 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., $d \leq\ 3$) 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.

[学科分类] 计算机科学（综合）