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We find the exact value of the Ramsey number $R(C_{2\ell},K_{1,n})$, when$\ell$ and $n=O(\ell^{10/9})$ are large. Our result is closely related to thebehaviour of Tur\'an number $ex(N, C_{2\ell})$ for an even cycle whose lengthgrows quickly with $N$.

The Ramsey number of a long even cycle versus a star