Kernel panics can happen because of incompatible drivers, bad directory (note with Snow Leopard you want Disk Warrior 4.2, as earlier versions may not work),
or hardware that is marginal. See my kernel panic FAQ*:
http://www.macmaps.com/kernelpanic.html
If you can check the log files, you might get a clue as to what might be going on.
Also check that all your drivers are Snow Leopard compatible. Here's a guide for printers and scanners:
http://support.apple.com/kb/HT3669
- * Links to my pages may give me compensation.