A Note on The Size Ramsey Number for Stars

Zhang Ke Min1
1 Dept. of Mathematics, Nanjing University, Nanjing, 210008, Peoples Republic of China

Abstract

In this paper, we prove that the size Ramsey number

\[\hat{r}(a_1K_{1,n_1}, a_2K_{1,n_2}, \ldots ,a_\ell K_{1,n_\ell}) = \left[\sum\limits_{i=1}^\ell {(a_i – 1)+1} \right] \left[\sum\limits_{i=1}^\ell {(n_i – 1)+1} \right].\]