Erdős problem 74 · problems.science

Let $f(n)\to \infty$ possibly very slowly. Is there a graph of infinite chromatic number such that every finite subgraph on $n$ vertices can be made bipartite by deleting at most $f(n)$ edges?

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4 retained statements2415f78e850a

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FormalConjectures/ErdosProblems/

74.lean

Retained formal statement2 of 4

Is there a graph of infinite chromatic number such that every finite subgraph on $n$ vertices can be made bipartite by deleting at most $\sqrt{n}$ edges?

FormalConjectures/ErdosProblems/74.leanErdos74.erdos_74.variants.sqrt1 lineExact file

1True ↔ ∃ V G, G.chromaticNumber = ⊤ ∧ ∀ (n : ℕ), ↑(Erdos74.SimpleGraph.maxSubgraphEdgeDistToBipartite G n) ≤ √↑n

OpenStatement only, no proof

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