Display only a specific relationship type in a Neo4j Browser query

For the newest versions (e.g 3.2, 3.3) the "auto-complete" toggle has been moved to the browser settings and its new name is "Connected all results". If it is checked, it connects nodes with all of their relationships. Otherwise, you only see relationships which meet the filtering criteria.

So, as Nicole White was kind enough to point out, the answer is to turn off the "auto-complete" toggle in the Neo4j visualizer (bottom right hand corner, outlined in red in the image below).

This causes the app to no longer display all of the relationships between displayed/selected nodes and to only show the relationships and nodes named in the query, as demonstrated below: