paper

Solution to a conjecture of Schmidt and Tuller on one-dimensional packings and coverings

arXiv:2203.03873 · doi:10.1090/proc/16254

Abstract

In 2008, Schmidt and Tuller stated a conjecture concerning optimal packing and covering of integers by translates of a given three-point set. In this note, we confirm their conjecture and relate it to several other problems in combinatorics.

10 pages. v2 includes an important historical reference and a few modifications based on the reviews

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