euclidean ramsey theory
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scholarly journals A result in asymmetric Euclidean Ramsey theory

2018 ◽  
Vol 341 (5) ◽  
pp. 1502-1508 ◽  
Author(s):  
Andrii Arman ◽  
Sergei Tsaturian
Keyword(s):  
Ramsey Theory ◽  
Euclidean Ramsey Theory

scholarly journals Lines in Euclidean Ramsey Theory

2018 ◽  
Vol 61 (1) ◽  
pp. 218-225
Author(s):  
David Conlon ◽  
Jacob Fox
Keyword(s):  
Ramsey Theory ◽  
Euclidean Ramsey Theory

scholarly journals A Euclidean Ramsey Result in the Plane

10.37236/7148 ◽  
2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Sergei Tsaturian
Keyword(s):  
Elementary Proof ◽  
Ramsey Theory ◽  
Unit Distance ◽  
Euclidean Ramsey Theory

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.

scholarly journals On some problems of Euclidean Ramsey theory

2015 ◽  
Vol 41 (4) ◽  
pp. 299-310
Author(s):  
I. D. Shkredov
Keyword(s):  
Ramsey Theory ◽  
Euclidean Ramsey Theory

scholarly journals Transitive sets in Euclidean Ramsey theory

2012 ◽  
Vol 119 (2) ◽  
pp. 382-396 ◽  
Author(s):  
Imre Leader ◽  
Paul A. Russell ◽  
Mark Walters
Keyword(s):  
Ramsey Theory ◽  
Euclidean Ramsey Theory

scholarly journals Hypergraph list coloring and Euclidean Ramsey theory

2011 ◽  
Vol 39 (3) ◽  
pp. 377-390 ◽  
Author(s):  
Noga Alon ◽  
Alexandr Kostochka
Keyword(s):  
Ramsey Theory ◽  
List Coloring ◽  
Euclidean Ramsey Theory

Open Problems in Euclidean Ramsey Theory

Ramsey Theory ◽  
2011 ◽  
pp. 115-120
Author(s):  
Ron Graham ◽  
Eric Tressler
Keyword(s):  
Ramsey Theory ◽  
Open Problems ◽  
Euclidean Ramsey Theory
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