You didn't find because this is not possible.
Facebook decided not to support app management and creation using the API, in order to avoid applications created or edited by bots.
Only a few actions are possible using the API:
- Migration (like migrating to OAuth2, ...)
- Restriction (Geographical, age...)
- User ban (add/remove)
- Test User Creation/edition/deletion
See http://developers.facebook.com/docs/reference/api/application/ for more info.
You'll notice one of the first sentence: "To create, administer or delete applications developers must go to the Developer Application."
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