Geodesic
A Euclidean Ramsey result in the plane
Sergei Tsaturian1
1University of Manitoba
The electronic journal of combinatorics, Tome 24 (2017) no. 4

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl arXiv
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 
Sergei Tsaturian. A Euclidean Ramsey result in the plane. The electronic journal of combinatorics, Tome 24 (2017) no. 4. doi: 10.37236/7148
@article{10_37236_7148,
     author = {Sergei Tsaturian},
     title = {A {Euclidean} {Ramsey} result in the plane},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {4},
     doi = {10.37236/7148},
     zbl = {1376.05161},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/7148/}
}
TY  - JOUR
AU  - Sergei Tsaturian
TI  - A Euclidean Ramsey result in the plane
JO  - The electronic journal of combinatorics
PY  - 2017
VL  - 24
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/7148/
DO  - 10.37236/7148
ID  - 10_37236_7148
ER  - 
%0 Journal Article
%A Sergei Tsaturian
%T A Euclidean Ramsey result in the plane
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/7148/
%R 10.37236/7148
%F 10_37236_7148

Cité par Sources :