Do you ever min-raise on the flop?

A lot depends on how big the bet was coming in.

If the original bet was small (less than half pot say), then a minimum raise can just be a way of saying "I have top pair, was that weak bet a draw or a weak-ass top pair or second pair or a set hoping to get raised or what?" Last night I had KQ on a Kxx flop and there was a weak bet and a minimum raise in front of me, I said no way I lay down to what is effectively just a full pot bet on the flop, and the guy had KJ.

A lot of people use flop minimum raises in position as semibluffs with flush draws, and as a free card play. I still do this sometimes, though not as often as I used to. But I see it regularly.

So if I have something decent, I am rarely willing to give up to the flop minimum raise. But if they follow a flop minimum raise with a full pot bet on the turn, that's when you know you're up against a monster (or a bluffmaniac).

I dont min-raise the flop very often. When I do its cause I have a stong hand on a non-draw heavy board and usually against a weak opponent. Or if the opponent isnt very deep i will min-raise to build the pot and get them committed by the turn. Also, if min-raising will leave the villian with enough behind to still have fold equity in a push; I may min-raise instead of a real raise (which would leave me obvioulsy pot committed and prevent him from being able to make a move on me).

I think I may have done it once or twice, usually though it is when there is a weak lead bet by players who chronically weak lead. I can only recall a few times though that I've done it.