Well, as far as I know there's no way yet to do this in a pure Graph API request. To get the total_shares
, you could use something like
http://graph.facebook.com/?id=http://www.google.com
but this sums up all likes, shares, comments etc. so it's probably not what you're looking for.
You could use
https://api.facebook.com/method/links.getStats?urls=http://www.google.com&format=json
but this is also deprecated, and it's unclear how long this will work.
FQL by the way will be around for another 2 years after the next version of the Graph API will be released, see https://developers.facebook.com/docs/apps/versions#versioning So, for now I'd recommend to stick with the FQL solution.
Hava a look at How to get share counts using graph API to get some more info.