Erdős Problem #833 — Large vertex degree in a three-chromatic set system

About 55 years old · traced to

Is there a constant c>0c>0 such that every three-chromatic set system whose members all have size at least tt has an element belonging to at least (1+c)t(1+c)^t members?

References

Additional references

P. Erdős, Some unsolved problems in graph theory and combinatorial analysis, Combinatorial Mathematics and its Applications (Proc. Conf., Oxford, 1969), Academic Press (1971), 97–109.

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