Thank you David,
I did the same upgrade from 3.5 enterprise edition to 4.4 enterprise edition, but it doesn't work and I get the following error :
Caused by: org.neo4j.kernel.lifecycle.LifecycleException: Component 'org.neo4j.dbms.database.DefaultSystemGraphInitializer@cdbe995' was successfully initialized, but failed to start. Please see the attached cause exception "Unsupported component state for 'multi-database': The sub-graph is unsupported because it is too old, this component cannot function". at org.neo4j.kernel.lifecycle.LifeSupport$LifecycleInstance.start(LifeSupport.java:463) ~[neo4j-common-4.4.4.jar:4.4.4] at org.neo4j.kernel.lifecycle.LifeSupport.start(LifeSupport.java:110) ~[neo4j-common-4.4.4.jar:4.4.4] at org.neo4j.graphdb.facade.DatabaseManagementServiceFactory.startDatabaseServer(DatabaseManagementServiceFactory.java:219) ~[neo4j-4.4.4.jar:4.4.4] ...
What do you think?
So, with apologies - I think I gave you the wrong advice above. A colleague reached out to me and pointed me to this resource, that I think you should give a try. It involves using neo4j-admin copy to go direct from 3.5 -> 4.4 (which I wasn't aware of).
Hope this helps as an alternative.