Hey Cindy -
I agree with jm.
No one 'really' knows what these corals are... but that's certainly a type of Montipora we all have been calling a cap-type. There are probably 5 different varieties in Verons that it could actually be... but hey, "cap" gives the general idea.
Hey Dennis -
That looks like Stylophora pistilata. Sometimes the green ones are tough ro distinguish between Stylophra and Pocillipora, but that looks like Stylo to me.
EDIT - Looking now at both your colony and mine below... I agree with jm on yours - Pocillipora. I don't know why the greens of those two corals always get me... but they do.
Here's a shot of my similar - but different green Stylophora. I took this macro to illustrate how the shaded branches of this Stylo color up to be pink with deep green polyps, while the branches that get more light appear pink. I'm now trying to provide more shade (training a large acro to gro over it) so that the entire colony colors up with the green polyps.