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Erdős Problem #642 — Let f(n)f(n) be the maximal number of edges in a graph on nn vertices such that all cycles have more vertices than diagonals. Is it true that f(n)≪nf(n)\ll n?

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Let f(n)f(n) be the maximal number of edges in a graph on nn vertices such that all cycles have more vertices than diagonals. Is it true that f(n)≪nf(n)\ll n?

References

Primary source

ULAM AI, UnsolvedMath dataset, Erdős Problems set, revision b9437975f3c873f635a13c48f8b022f5ba80898a; CC BY 4.0.

Additional references

UnsolvedMath, Erdős Problems set, ULAM AI, licensed CC BY 4.0.

cyclesgraph-theory
InErdős Problems
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