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arXiv · 2203.03873

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

Nóra Frankl·Andrey Kupavskii·Arsenii Sagdeev
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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.

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Nóra Frankl, Andrey Kupavskii, Arsenii Sagdeev. 2022-08-17. Solution to a conjecture of Schmidt and Tuller on one-dimensional packings and coverings. https://doi.org/10.1090/proc%2F16254

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