Domain Mapping and SEO

I haven't used the plugin yet. I have just installed it and would like to know what happens with the site links when you enable domain mapping.

For example: I have test.mysites.com and I map it to test.com. When someone visits test.com do all the links on that page display as test.com or test.mysite.com?

I want to make sure that links from test.mysite.com are not getting indexed and the test.com are =)

Thanks!!!