This is not a simple problem domain in computer science… If you have a better open-source automated layout of a directed graph with edge labels algorithm implemented in JavaScript (and fast enough to not hang browsers) we would be happy to use it.
If you post an anonymized version of the compose file for that stack I’ll save it as an example for next time we’re looking at the graph. Just the service names and links basically, everything else can be removed and make the images all busybox or something small.