No, not really any minimum. However, I view it that based on your graphics memory, the minimum your system should have is twice your vram, and the optimal minimum you should probably have is 4x the ram. So if you have a 128MB card, you should have a minimum of 256MB of ram, and ideally you would have at least 512MB of ram. A 256 card, you would have a minimum of 512 and optimally at least a gig. 512, well if you have a card that has 512MB of memory you're likely getting into some pretty nice rigs (except for those punk X1600's with 512, what a waste). Obviously this isn't a rule, and not reality, but its just sort of a rule of thumb I have.