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Erdős problem 74

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

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The source's own material, retained exactly.

4 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

74.lean

Retained formal statement3 of 4

The set of edge distances to a bipartite graph is always non-empty because deleting all edges from a graph makes it bipartite.

FormalConjectures/ErdosProblems/74.leanErdos74.SimpleGraph.edgeDistancesToBipartite_nonempty1 lineExact file
∀ {V : Type u} {G : SimpleGraph V} (A : G.Subgraph), (Erdos74.SimpleGraph.edgeDistancesToBipartite A).Nonempty
TestStatement only, no proof