google-deepmind / google-deepmind/formal-conjectures
Erdős Problem 554
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ams-05: Combinatorics
erdos-problems
new conjecture
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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
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Assessment
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