Doubly biased Maker-Breaker Connectivity game
  In this paper we study the (a : b) Maker-Breaker Connectivity game, played on the edge-set of the complete graph on n vertices. We determine the winner for almost all values of a and b. 
Dan Hefetz, Mirjana Raki\'c, Milo\v{s} Stojakovi\'c
math.CO