Ok, implicitly then. If someone's name is not on an invitation, they
are not invited. It's not appropriate to put 'no kids' on an invitation
(tho it is commonly done). In which cultures is it the norm to assume
someone is invited even if not on an invitation?

Cypriot, it is assumed everyone is invited, particularly in village
situations, you would be unlikely to receive an invite, but it would be rude
not to either go or send apologies!

Anne