Comment on Google Authorship Tutorial by SEO Dave.
Both sets of social media links are using the Stallion Link Cloaking feature, those links are invisible to Google and other search engines. Note you can have the links pass PR, though not a very good idea.
Stallion SEO Advanced Options:
Cloak Affiliate Links ON
Cloak Bio and Profile Links ON
Google reads those links as an image surrounded by a span tag, not an image link.