It's not that the traversal methods are built in, it's that that each node as a built-in index of its adjacent nodes so it doesn't have to do external lookups on each traversal step.
It's not that the traversal methods are built in, it's that that each node as a built-in index of its adjacent nodes so it doesn't have to do external lookups on each traversal step.
So while the methods used to traverse the Neo4j graph are fairly representative, the data structure and algorithms used for the MySQL traversal are not.
Of course, I agree with you that the data structure itself is optimized. In general I'm not doubting Neo4j's ability to excel in most benchmarks. I just think the approach is very basic.
Interestingly, Marko didn't use Neo4j's native API (http://api.neo4j.org) -- he used a dataflow framework he wrote called Pipes (https://github.com/tinkerpop/pipes/wiki/).
You probably have heard of the graph programming language Gremlin (https://github.com/tinkerpop/gremlin/wiki). Gremlin is a thin wrapper over Pipes.