How to use AIR application on other computers


I recently made an AIR application where a user can sit down and input text into various textfields, hit a button, and a number of xml files are created on their desktop.

I need to know what I must do to install this AIR app on another computer. I know that when I published this thing it created a certificate but not sure what else is needed.

Does the other computer need CS 4 installed or just Flash Player?