Erdős Problem 74
Let possibly very slowly. Is there a graph of infinite chromatic number such that every finite subgraph on vertices can be made bipartite by deleting at most edges?
Mathematical statement
Let possibly very slowly. Is there a graph of infinite chromatic number such that every finite subgraph on vertices can be made bipartite by deleting at most edges?
Statement source: Erdős Problems statement material
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Source-specific terms. Therefore does not assert reuse rights beyond attributed display.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
erdos_74
theorem erdos_74 : answer(sorry) ↔ ∀ f : ℕ → ℕ, Tendsto f atTop atTop → (∃ (V : Type u) (G : SimpleGraph V), G.chromaticNumber = ⊤ ∧ ∀ n, G.maxSubgraphEdgeDistToBipartite n ≤ f n) := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References