Mixed, Multi-color, and Bipartite Ramsey Numbers Involving Trees of   Small Diameter
  In this paper we study Ramsey numbers for trees of diameter 3 (bistars) vs., respectively, trees of diameter 2 (stars), complete graphs, and many complete graphs. In the case of bistars vs. many complete graphs, we determine this number exactly as a function of the Ramsey number for the complete graphs. We also determine the order of growth of the bipartite $k$-color Ramsey number for a bistar. 
Jeremy F. Alm, Nicholas Hommowun, Aaron Schneider
math.CO