On Partial Sums in Cyclic Groups
Combinatorics
2015-01-28 v1
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.
Cite
@article{arxiv.1501.06872,
title = {On Partial Sums in Cyclic Groups},
author = {D. S. Archdeacon and J. H. Dinitz and A. Mattern and D. R. Stinson},
journal= {arXiv preprint arXiv:1501.06872},
year = {2015}
}