You can use the Post method. This requires publish_stream permission. The user must "love" this page.
To publish a wall post, send a message message and optional attachment to the feed / wall of a user, page or group, i.e. http://graph.facebook.com/PROFILE_ID/feed .
Annoyingly, one thing the Graph API does not allow is to let the user "like" the page through it. The user must "love" the page. (Catch-22)
Graphics API Documentation
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