You can use these options:
fb://profile – Open Facebook app to the user’s profile
fb://friends – Open Facebook app to the friends list
fb://notifications – Open Facebook app to the notifications list (NOTE: there appears to be a bug with this URL. The Notifications page opens. However, it’s not possible to navigate to anywhere else in the Facebook app)
fb://feed – Open Facebook app to the News Feed
fb://events – Open Facebook app to the Events page
fb://requests – Open Facebook app to the Requests list
fb://notes- Open Facebook app to the Notes page
fb://albums – - Open Facebook app to Photo Albums list
and many more. As for android there may be something similar. It's possible the same URL's work for the newer versions of the Android FB app. I have no device to check with.