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If is a graph with at most edge disjoint triangles then can be made triangle-free after removing at most edges?

Worked, still open.

graph theory · open · 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

* (\nu(G)) = the **largest** number of **edge-disjoint** triangles in $G$, * (\tau(G)) = the **smallest** number of edges you must delete to make $G$ **triangle-free** (an edge set that hits every triangle).

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 a2a8eb0d7acf2f145834d89503fcea3640899fa6933f5d5e5cdd209eb4e96740

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

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

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