The problem is that after v2.1 of graph api fql will be deprecated.
Can someone tell me how to get separate likes, share count for given url using only graph api? I
I suggest using a tool like SharedCount, it offers a lot more platforms too. Here is how they get the data: http://www.sharedcount.com/documentation.php (Scroll down to "Sources")
So for Facebook it would be like this:
https://api.facebook.com/method/links.getStats?urls=%%URL%%&format=json
You get a JSON object like this one:
..."share_count":66,"like_count":15,"comment_count":1,"total_count":82...
Edit: This is deprecated now, but there is another possibility, explained in this thread: Get FB likes, shares and comments for a URL using PHP - with no limit