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Erdős problem 128

Let G be a graph with n vertices such that every induced subgraph on ≥ n/2n/2 vertices has more than n2/50n^2/50 edges. Must G contain a triangle?

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No reviewed Result is current in Vela Mathematics Program. Retained source material is shown below.

Retained declaration

FormalConjectures/ErdosProblems/128.lean

Formal Conjectures

FormalConjectures/ErdosProblems/128.leanErdos128.erdos_1285 linesExact file
True  ∀ (V : Type) [inst : Fintype V] (G : SimpleGraph V),    (∀ (V' : Set V),        2 * V'.ncard + 1 ≥ Fintype.card V → 50 * (SimpleGraph.induce V' G).edgeSet.ncard > Fintype.card V ^ 2) →      ¬G.CliqueFree 3
OpenStatement only, no proof

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