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arxiv: 1702.03043 · v1 · pith:5ENIQTFCnew · submitted 2017-02-10 · 🧮 math.MG · math.CO

Rainbow triangles

classification 🧮 math.MG math.CO
keywords spacesvectoranalogousappropriateclasscolorcoloringsconditions
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We seek conditions under which colorings of various vector spaces are guaranteed to have a copy of a unit equilateral triangle, having each vertex in a different color class. In particular, we explore the analogous question in the setting of vector spaces finite fields, with an appropriate notion of distance.

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