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arXiv · 1501.06872

On Partial Sums in Cyclic Groups

D. S. Archdeacon·J. H. Dinitz·A. Mattern·D. R. Stinson
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Abstract

We are interested in ordering the elements of a subset A of the non-zero integers modulo n in such a way that all the partial sums are distinct. We conjecture that this can always be done and we prove various partial results about this problem.

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D. S. Archdeacon, J. H. Dinitz, A. Mattern, D. R. Stinson. 2015-01-27. On Partial Sums in Cyclic Groups. https://arxiv.org/abs/1501.06872

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