Minimum packing density for sets of four integers

Fuente: arXiv
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Main Authors: Li, Cindy, Offner, David, Ye, Iris
Format: Preprint
Published: 2025
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author Li, Cindy
Offner, David
Ye, Iris
author_facet Li, Cindy
Offner, David
Ye, Iris
contents We prove that the set $\{0, 1, 4, 6\}$ achieves the minimum packing density among all sets of integers with cardinality four, with a density of $\frac{1}{7}$.
format Preprint
id arxiv_https___arxiv_org_abs_2501_01571
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Minimum packing density for sets of four integers
Li, Cindy
Offner, David
Ye, Iris
Combinatorics
05B40, 05B45, 11B05
We prove that the set $\{0, 1, 4, 6\}$ achieves the minimum packing density among all sets of integers with cardinality four, with a density of $\frac{1}{7}$.
title Minimum packing density for sets of four integers
topic Combinatorics
05B40, 05B45, 11B05
url https://arxiv.org/abs/2501.01571