Determine the Ramsey number$$R(C_4,S_n),$$where $S_n=K_{1,n}$ is the star on $n+1$ vertices.In particular, is it true that, for any $c>0$, there are infinitely many $n$ such that$$R(C_4,S_n)\le n+\sqrt{n}-c?$$

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Let [ f(n):=R(C_4,S_n)=R(C_4,K_{1,n}), ] where (S_n=K_{1,n}) is the star on $n+1$ vertices.

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.