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Long Non-crossing Configurations in the Plane

✍ Scribed by Adrian Dumitrescu; Csaba D. Tóth

Publisher
Springer
Year
2010
Tongue
English
Weight
660 KB
Volume
44
Category
Article
ISSN
0179-5376

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✍ Arthur D. Szlam 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 100 KB

It is shown that every red blue coloring of the plane, without two blue points distance 1 apart, must have a red translate of every three-point configuration. A seven-point configuration S and a red blue coloring are exhibited, which avoids both distance one in blue and translates of S in red.