They keep a more extensive internal work log regarding your repair than what is listed on your invoice, so if you call there's a good chance they can look through your history and see whether they identified it as a graphics issue.
sadly the senior support support guy told me since it doesn't clearly state "graphic problems or random reboots" there's a good chance his request will be denied.
Didn't take it in during those problem since it "worked" and was out of warranty, but did when that last reboot wouldn't 'reboot'.