[Bielefelder]

I am a mathematician in retirement. Starting on Friday afternoon, I have investigated problem 6 of the "First Proof" paper. Already yesterday, with the help of ChatGPT and Gemini, I was pretty sure that constant c=1/4 would do the job. And even for the more ambigious c=1/2, if offered a 1:1-bet, I would take the side that claims "c=1/2 works". However, a proof is still not in reach for me. In several random examples with medium size graphs c=1/2 was always fine. So, someone finding a G which requires c < 1/2, would be interesting for me.