google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 1021
- Dominant language
- Lean
- Stars
- 1.3k
- Forks
- 485
- Avg merge
- 1d 20h
- Merged PRs (30d)
- 327
Description
### What is the conjecture
https://www.erdosproblems.com/1021
Is it true that, for every $k\geq 3$, there is a constant $c_k>0$ such that
$$\mathrm{ex}(n,G_k) \ll n^{3/2-c_k},$$
where $G_k$ is the bipartite graph between $\\{y_1,\ldots,y_k\\}$ and $\\{z_1,\ldots,z_{\binom{k}{2}}\\}$, with each $z_j$ joined to a unique pair of $y_i$?
Status: solved
### Choose either option
- [ ] I plan on working on this conjecture
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else
Contributor guide
Research direction
No source files, tests, or entry points are mentioned. Start by reviewing the repository's conventions for formalized conjectures and the linked Erdős problem, then determine the required formal statement and validation approach; done means the conjecture is added in the project's expected form and its checks pass.
Written by the indexing model from the issue text.
Assessment
- Domain
- tooling
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100