Every time you decouple on Facebook, little press releases blast the gossip to all of your friends. Next time you break up, in the "News Feed and Mini-Feed" section of your privacy options deselect "Remove my Relationship Status"; then in your profile settings, change "In a Relationship" to the default "Select Status." But there's a hitch, according to WIRED magazine, your ex's mini-feed will display an update in relationship status. (Nicely ask your former flame to delete it ASAP.)
Myself, I think I'm going to keep my relationship status as "It's complicated" regardless. Because, really, isn't it ALWAYS complicated? ;)