The author is not saying you should use a polytree but rather that the ideal graph of microservices should also be a polytree.
A polytree has the property that there is exactly one path that each node can be reached. If you think of this as a dependency graph, for each node in the graph you know that none of its dependencies have shared transitive dependencies.
I'll give it one though: if there are no shared transitive dependencies then there cannot be version conflicts between services, where two otherwise functioning services need disparate versions of the same transitive dependency.
alt Hacker News
The author is not saying you should use a polytree but rather that the ideal graph of microservices should also be a polytree.
A polytree has the property that there is exactly one path that each node can be reached. If you think of this as a dependency graph, for each node in the graph you know that none of its dependencies have shared transitive dependencies.
I'll give it one though: if there are no shared transitive dependencies then there cannot be version conflicts between services, where two otherwise functioning services need disparate versions of the same transitive dependency.