Thanks for posting. The cables are DVI, and I've tried removing/unplugging and replugging them multiple times (just for safety).
The video card does have two DVI slots in the back - I'll try switching the slots between the monitors and see if the problem persists.
Okay. So, I switched the two slots, and very interestingly noticed that the problem has stopped on this monitor for now...which is interesting because I've already unplugged and replugged the cable. I'm still thinking it'll come back, but for now, it seems like a fix for the problem.
Thanks a lot for your help, it was a clever idea.