Facebook: likes

get_number_of_likes.js

Titanium.Facebook.requestWithGraphPath('OBJECT_ID', {}, 'GET', function(e) {
    if (e.success) {
        alert(e.result);
    } else {
        return -1;
    }
});

like.js

// facebook's documentation http://developers.facebook.com/docs/reference/api/
// Change OBJECT_ID to an actual object id
Titanium.Facebook.requestWithGraphPath('OBJECT_ID/likes', {}, 'POST', function(e) {
       if (e.success) {
           alert('Success!  From FB: ' + e.result);
       } else {
           if (e.error) {
               alert(e.error);
           } else {
               alert('Unkown result');
           }
       }
});