Web publishers and blog owners have a new toy to play with: Facebook announced Monday that it has launched new “share” buttons with counters, much in the manner of Digg’s iconic buttons and the third-party TweetMeme app for Twitter sharing.
Plus, there’s more: Publishers installing Facebook share buttons can also get data back related to how many times that link has been shared, how many users have hit the thumbs-up “like” button or commented on shared versions of the story on Facebook, and how many people have clicked back to it …