I know there are a myriad of video options for both PC's and the Macmini you are referring to.
However, in my experience getting any resolution that is output via Mac, Linux, or Windows will have issues displaying on this TV no matter what the signal. You might like it just fine, but for my tastes I could not get it to look as it should. Even if I set a custom resolution and specified the exact vertical and horizontal resolution and refresh rate specified to be the manual it still did not look very good IMO. But you have to take into account my extreme anality.