The Ramsey number of a long even cycle versus a star

Peter Allen, Tomasz Łuczak, Joanna Polcyn +1

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 the behaviour of Turán number $e…