Yes, the Community Edition and the Enterprise Edition are different. Certain functionality is restricted to the Enterprise Edition. It's a different codebase. I didn't say otherwise.

You can see it here: http://github.com/neo4j/neo4j

See how there are 'community' and 'enterprise' top-level directories? The 'enterprise' directory contains the enterprise-specific code. It's a separate project in some senses but it does share the same repository, and it is open source.

As you can also see by looking at that repository, the Enterprise Edition is licensed as AGPL. Here is the license: https://github.com/neo4j/neo4j/blob/3.3/enterprise/LICENSE.t...

I'll quote:

    If you have not executed a Commercial Agreement with Neo Technology, the
    Software is subject to the terms of the GNU AFFERO 
    GENERAL PUBLIC LICENSE
    Version 3, as follows:

Then follows the AGPL license.