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Title: On the chromatic number of a space with forbidden equilateral triangle

Journal Article · · Sbornik. Mathematics
; ;  [1];  [2]
  1. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
  2. Department of Innovations and High Technology, Moscow Institute of Physics and Technology, Dolgoprudnyi, Moskovskaya obl. (Russian Federation)

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.

OSTI ID:
22364894
Journal Information:
Sbornik. Mathematics, Vol. 205, Issue 9; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English