google-deepmind / google-deepmind/formal-conjectures

Erdős Problem 112

Open
#357 0 comments 0 reactions 0 assignees View on GitHub
ams-05: Combinatorics erdos-problems new conjecture
Dominant language
Lean
Stars
1.3k
Forks
485
Avg merge
1d 20h
Merged PRs (30d)
328

Description

### What is the conjecture

https://www.erdosproblems.com/112

Let $k=k(n,m)$ be minimal such that any directed graph on $k$ vertices must contain either an independent set of size $n$ or a transitive tournament of size $m$. Determine $k(n,m)$.

Status: open

### 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

Open the contributing guide

Assessment

This issue has not been assessed yet.

Get new issues in your inbox

A short digest of beginner-friendly GitHub issues.