How to create a tight tree-like layout for a network graph?

[frankandrobot]

• Context: this is for rendering networks of internet devices. Technically, our network graphs can be cyclic. But for the most part, they are trees w/ a few cycles.. Our network graphs are acyclic, and in fact, they are trees.
• And so for the most part, we can render the graph like the screenshot
• So what I'm asking for is how to create the layout for the screenshot.
• In particular, this is a screenshot of a very large network (+300 nodes) rendered in a tight space.
• So looking for ways to render a tree in a tight space with no overlapping edges.
• Some more context: we're using another library to render the nodes. We're trying to use elkjs for the layout.