Ramsey numbers for a disjoint union of good graphs

We give the Ramsey number for a disjoint union of some G -good graphs versus a graph G generalizing the results of Stahl (1975) [5] and Baskoro et al. (2006) [1] and the previous result of the author Bielak (2009) [2]. Moreover, a family of G -good graphs with s ( G ) > 1 is presented.