Erdős Problem #593
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Statement
Which finite triple systems occur in every triple system of uncountable chromatic number? The claimed characterization: exactly those that, after removing isolated vertices, are linear, have every hyperedge-node of their Levi graph meeting a bridge, and have every Berge cycle even.
Context
A numbered Erdos problem that carries a $500 Erdos prize, setting it above the typical entry in the catalog.
People
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VibeMathed records no account of how ChatGPT + Aristotle was used here. See erdosproblems.com/593.
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Machine check · not human verification
machine: correctscope Lean formalization of the result
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