List coloring with requests
  Let G be a graph with a list assignment L. Suppose a preferred color is given for some of the vertices; how many of these preferences can be respected when L-coloring G? We explore several natural questions arising in this context, and propose directions for further research. 
Zden\v{e}k Dvo\v{r}\'ak and Sergey Norin and Luke Postle
math.CO