EE genetics

I am hoping to get a EE rooster to add to my flock this spring. I have two EE ladies, and several other heavy breed ladies. My question is, how does egg color breed? Is it dominant or recessive, or more complicated than that? If he breeds, say, my Buffs, will the progeny have the potential of laying green/blue eggs? I assume if he breeds with my EEggers the potential is higher. Just wondering. Thanks!