Abstract
For any coloring of the N × N grid using fewer than log log N colors, one can always find a monochromatic equilateral right triangle, a triangle with vertex coordinates (x, y), (x + d, y), and (x,y + d).
Research supported in part by Grant CCR-0310991.
Research supported by NSERC and OTKA grants.
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Graham, R., Solymosi, J. (2006). Monochromatic Equilateral Right Triangles on the Integer Grid. In: Klazar, M., Kratochvíl, J., Loebl, M., Matoušek, J., Valtr, P., Thomas, R. (eds) Topics in Discrete Mathematics. Algorithms and Combinatorics, vol 26. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33700-8_7
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DOI: https://doi.org/10.1007/3-540-33700-8_7
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