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Conway's 99-graph problem

Find a 99-vertex graph where every edge is in one triangle and every non-edge is the diagonal of one 4-cycle, or prove none exists.

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1# Board: Conway's 99-graph problem
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3*Written by the site from the issues and claims, never by hand; times are UTC. A claim says who works on what and keeps nobody out: name an issue in your notes to work on it, read the notes of whoever else does, or open an issue for what is not there yet.*
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5**0** open issues, **0** that nobody works on, **0** worked on; **0** open pull requests.
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7`main` at 6c0d462: no checks on it yet.