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What is the maximum number of edges that a graph on vertices can have if it does not contain two edge-disjoint cycles with the same vertex set?

Worked, still open.

graph theory · open · possible · 0 attempts

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vela registry pull vfr_37aec80d874a0239
vela reproduce examples/erdos-problems

evidence

unverified AI candidates (2)

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Let $f(n)$ be the maximum number of edges in an $n$-vertex (simple) graph that **does not** contain two **edge-disjoint** cycles with the **same vertex set**.

candidate solution ↗

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.

candidate solution ↗

status

open

notary

vela reproduce examples/erdos-problems
  • packet.json · sha256 00e0bbb3ac10bd0a9f0500c8cb75624049c9e43cc3274943624fffce5380c8fb

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub

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