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An Anti-Ramsey Theorem

✍ Scribed by J. J. Montellano-Ballesteros; V. Neumann-Lara

Publisher: Springer-Verlag
Year: 2002
Tongue: English
Weight: 138 KB
Volume: 22
Category: Article
ISSN: 0209-9683
DOI: 10.1007/s004930200023

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In this note we shall prove a geometric Ramsey theorem. Let T be a triangle with angles 30, 60 and 90 degrees, and with hypotenus of unit length. Then the theorem says that if one threecolors the 3-space, then there is always a copy of T with monochromatic vertices. We shall also show that there is