The density of planar sets avoiding unit distances
By improving upon previous estimates on a problem posed by L. Moser, we prove a conjecture of Erdős that the density of any measurable planar set avoiding unit distances is less than 1/4. Our argument implies the upper bound of 0.2470.
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2024
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| Sorozat: | MATHEMATICAL PROGRAMMING
207 No. 1-2 |
| Tárgyszavak: | |
| doi: | 10.1007/s10107-023-02012-9 |
| mtmt: | 33834838 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/29680 |
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| 490 | 0 | |a MATHEMATICAL PROGRAMMING |v 207 No. 1-2 | |
| 520 | 3 | |a By improving upon previous estimates on a problem posed by L. Moser, we prove a conjecture of Erdős that the density of any measurable planar set avoiding unit distances is less than 1/4. Our argument implies the upper bound of 0.2470. | |
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| 700 | 0 | 1 | |a Matolcsi Máté |e aut |
| 700 | 0 | 1 | |a Varga Dániel |e aut |
| 700 | 0 | 1 | |a Zsámboki Pál |e aut |
| 856 | 4 | 0 | |u http://publicatio.bibl.u-szeged.hu/29680/1/Unit_Distance_Graphs_FINAL.pdf |z Dokumentum-elérés |