All triangles are Ramsey
Author:
Abstract
Given a triangle A B C ABC and an integer r r , r ⩾ 2 r \geqslant 2 , it is shown that for n n sufficiently large and an arbitrary r r -coloring of R n {R^n} one can find a monochromatic copy of A B C ABC .
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/tran/1986-297-02/S0002-9947-1986-0854099-6/S0002-9947-1986-0854099-6.pdf
Reference2 articles.
1. Euclidean Ramsey theorems. I;Erdős, P.;J. Combinatorial Theory Ser. A,1973
2. F. P. Ramsey, On a problem of formal logic, Proc. London Math. Soc. 30 (1930), 264-286.
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