I\'ve found some discrepancies in the graph api and was wondering if anybody has been able to work around them.
https://graph.facebook.com/?id=http://www.imdb.com/ti
You need to use Facebooks' FQL with table link_stat. Use something similar to this
SELECT
url, normalized_url,
share_count, like_count, comment_count, total_count,
commentsbox_count, comments_fbid, click_count
FROM link_stat
WHERE url="http://www.imdb.com/title/tt0117500/"
This is the result for that query (in XML format, you can of course get it in JSON)
http://www.imdb.com/title/tt0117500/
http://www.imdb.com/title/tt0117500/
6233
9500
2179
17912
6
380728101301
164
The total_count (17912) is the number you are looking for.