This is not what ‘logout’ is supposed to mean
A year ago I was screwing around with multiple Facebook accounts as part of some development work. I created a number of fake Facebook accounts after logging out of my browser. After using the fake accounts for some time, I found that they were suggesting my real account to me as a friend. Somehow Facebook knew that we were all coming from the same browser, even though I had logged out.
There are serious implications if you are using Facebook from a public terminal. If you login on a public terminal and then hit ‘logout’, you are still leaving behind fingerprints of having been logged in. As far as I can tell, these fingerprints remain (in the form of cookies) until somebody explicitly deletes all the Facebook cookies for that browser. Associating an account ID with a real name is easy - as the same ID is used to identify your profile.
Facebook knows every account that has accessed Facebook from every browser and is using that information to suggest friends to you. The strength of the ‘same machine’ value in the algorithm that works out friends to suggest may be low, but it still happens. This is also easy to test and verify.
Nick Cubrilovic on Facebook’s insidious tracking cookies (via ayjay)