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math.CO2022★ 5 cited
Solution to a conjecture of Schmidt and Tuller on one-dimensional packings and coverings
Nóra Frankl, Andrey Kupavskii, Arsenii Sagdeev
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 conject…
math.CO2022
On some non-rigid unit distance patterns
Nora Frankl, Dora Woodruff
A recent generalization of the Erdős Unit Distance Problem, proposed by Palsson, Senger and Sheffer, asks for the maximum number of unit distance paths with a given number of verti…