Geodesic
A Euclidean Ramsey result in the plane
Sergei Tsaturian1
1University of Manitoba
The electronic journal of combinatorics, Tome 24 (2017) no. 4
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An old question in Euclidean Ramsey theory asks, if the points in the plane are red-blue coloured, does there always exist a red pair of points at unit distance or five blue points in line separated by unit distances? An elementary proof answers this question in the affirmative.
DOI : 10.37236/7148
Classification : 05D10, 05C12
Mots-clés : Euclidean Ramsey theory, plane, combinatorial geometry

Sergei Tsaturian  1

1 University of Manitoba 
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Sergei Tsaturian. A Euclidean Ramsey result in the plane. The electronic journal of combinatorics, Tome 24 (2017) no. 4. doi: 10.37236/7148

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