Discrepancy One among Homogeneous Arithmetic Progressions
Combinatorics
2018-07-17 v1
Abstract
We investigate a restriction of Paul Erdos' well-known problem from 1936 on the discrepancy of homogeneous arithmetic progressions. We restrict our attention to a finite set S of homogeneous arithmetic progressions, and ask when the discrepancy with respect to this set is exactly 1. We answer this question when S has size four or less, and prove that the problem for general S is NP-hard, even for discrepancy 1.
Keywords
Cite
@article{arxiv.1601.02997,
title = {Discrepancy One among Homogeneous Arithmetic Progressions},
author = {Robert Hochberg and Paul Phillips},
journal= {arXiv preprint arXiv:1601.02997},
year = {2018}
}