google-deepmind / google-deepmind/formal-conjectures

Erdős Problem 554

Open
#786 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/554

Let $R(G;k)$ denote the minimal $m$ such that if the edges of $K_m$ are $k$-coloured then there is a monochromatic copy of $G$. Show that
$$\lim_{k\to \infty}\frac{R(C_{2n+1};k)}{R(K_3;k)}=0$$
for any $n\geq 2$.

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.