Geodesic
On the chromatic number of a~space with forbidden equilateral triangle
Sbornik. Mathematics, Tome 205 (2014) no. 9, pp. 1310-1333

Voir la notice de l'article provenant de la source Math-Net.Ru

We improve the Frankl-Rödl estimate for the product of the numbers of edges in uniform hypergraphs with forbidden cardinalities of the intersection of edges. By using this estimate, we obtain explicit bounds for the chromatic number of a space with forbidden monochromatic equilateral triangles. Bibliography: 31 titles.
Keywords: hypergraph, systems of sets with forbidden intersections, Euclidean Ramsey theory, chromatic number of a space. 
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     title = {On the chromatic number of a~space with forbidden equilateral triangle},
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A. E. Zvonarev; A. M. Raigorodskii; D. V. Samirov; A. A. Kharlamova. On the chromatic number of a~space with forbidden equilateral triangle. Sbornik. Mathematics, Tome 205 (2014) no. 9, pp. 1310-1333. http://geodesic.mathdoc.fr/item/SM_2014_205_9_a3/