Welcome
You are correct that the problem is graphics related, but the cause is still to be determined.
Lets start with an update to your graphics driver, the cause given by the reports.
To to the website and update your Nvidia driver
nvlddmkm.sys
I did a complete reinstall of windows with the updated drivers. And the computer would sometimes work. Or it just boots to black screen. Im pretty sure the gpu needs a reflow. I already ordered a new video card, since the computer doesnt have built in video.
If you reinstalled windows and still have the problem, its hardware (the card is hardware). Wait until you get the card, and if you still BSOD, post. We can give stress tests to the hardware (including the card.)