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Erdős problem 1105

The anti-Ramsey number AR(n,G)\mathrm{AR}(n,G) is the maximum possible number of colours in which the edges of KnK_n can be coloured without creating a rainbow copy of GG (i.e. one in which all edges have different colours).

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FormalConjectures/ErdosProblems/1105.lean

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FormalConjectures/ErdosProblems/1105.leanErdos1105.erdos_1105.parts.i5 linesExact file
True  ∀ (k : ℕ),    3 ≤ k      (fun n => ↑((SimpleGraph.cycleGraph k).antiRamseyNum n) - ((↑k - 2) / 2 + 1 / (↑k - 1)) * ↑n) =O[Filter.atTop]        fun x => 1
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