Erdős Problem #57 — Reciprocals of odd cycle lengths in infinitely chromatic graphs

About 31 years old · traced to

If an infinite graph has infinite chromatic number and a1<a2<…a_1<a_2<… are the lengths of its odd cycles, must Σi1/aiΣ_i 1/a_i diverge?

References

Additional references

P. Erdős, Some of my favourite problems in number theory, combinatorics, and geometry, Resenhas 2 (1995), 165–186.

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