facebook-graph

Make Facebook _not_ automatically select a thumbnail from a page?

I'm using the Graph API to post to a user's wall via a 3rd party website. The update contains a link to said 3rd party website. (In functionality, it's kind of like just putting a Facebook "Like" button on the 3rd party page, except I want some more finely-tuned control over how the caption looks on Facebook.) I am not specifying a pic...