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arxiv: 0807.2689 · v2 · submitted 2008-07-17 · 🧮 math.CO

On kaleidoscopic pseudo-randomness of finite Euclidean graphs

classification 🧮 math.CO
keywords finiteeuclideangraphskaleidoscopicpseudo-randomnessconfigurationscontaind-dimensional
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In this paper we study the kaleidoscopic pseudo-randomness of finite Euclidean graphs using probabilistic methods. Roughly speaking, we show that sufficiently large subsets of d-dimensional vector spaces over finite fields contain every possible finite configurations.

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