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arxiv: 1507.06967 · v2 · pith:M4AZB3IKnew · submitted 2015-07-24 · 🧮 math.CO · math.NT

Visible lattice points and the chromatic zeta function of a graph

classification 🧮 math.CO math.NT
keywords graphlatticechromaticcyclepointszetaconfigurationscontain
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We study the probability that a cycle of length k in the lattice [1, n]^s does not contain more lattice points than the k vertices of the cycle. Then we generalize this problem to other configurations induced by a given graph H, introducting the chromatic zeta fuction of a graph.

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