google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 601
Open
ams-05: Combinatorics
erdos-problems
new conjecture
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Description
### What is the conjecture
https://www.erdosproblems.com/601
For which limit ordinals $\alpha$ is it true that if $G$ is a graph with vertex set $\alpha$ then $G$ must have either an infinite path or independent set on a set of vertices with order type $\alpha$?
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
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Assessment
This issue has not been assessed yet.