Geodesic
Combinatoire
More on lines in Euclidean Ramsey theory
Conlon, David1  ; Wu, Yu-Han2
1 Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
2 École Normale Supérieure - PSL, Paris, France
Comptes Rendus. Mathématique, Tome 361 (2023) no. G5, pp. 897-901

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Let ℓ m be a sequence of m points on a line with consecutive points at distance one. Answering a question raised by Fox and the first author and independently by Arman and Tsaturian, we show that there is a natural number m and a red/blue-colouring of 𝔼 n for every n that contains no red copy of ℓ 3 and no blue copy of ℓ m .

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DOI : 10.5802/crmath.452

Conlon, David 1 ; Wu, Yu-Han 2

1 Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
2 École Normale Supérieure - PSL, Paris, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Conlon, David; Wu, Yu-Han. More on lines in Euclidean Ramsey theory. Comptes Rendus. Mathématique, Tome 361 (2023) no. G5, pp. 897-901. doi: 10.5802/crmath.452

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