@Klaas The main use I have for the graph at this time is for building out my notes by collecting notes from various other sources and integrating them into Obsidian. This involves a lot of bulk copy/paste and then combining notes into meaningful documents in Obsidian and setting up proper crosslinks. So for right now I have the graph configured to only show the links pointing to the currently selected note. This way as I compile my notes from these various external sources (other note taking tools, etc) into Obsidian I can see immediately if the note I just created is linked from one or more places or if its an orphan.
So I’m not using the graph as a tool for thinking and navigating, only to give me confidence that the new note is attached somewhere so I can throw it out of my mind and move on. I do get some value (or at least feel I do) from seeing the connected components that form on the global graph.
Oh on that note, you can adjust the settings under forces in the graph to change how the graph appears. When I did that it made the bridge notes more obvious, so I could see that a few core concepts connect multiple otherwise-disconnected islands of notes/ideas. That gives me some ideas on thinking about those more consciously in my daily life to see where else these core ideas can be applied – since they apply rather broadly they can be a useful jumping off point when learning other material, i.e. when learning if I look for these patterns in the new info then perhaps I can more easily grok the new material when I find them. Who knows, its just an idea. But maybe its one I should write a note about… 
@JAG interesting – I was looking at that same emoji for the exact same reason the other day! 
But I hadn’t thought about using two different colors like that, what a great idea. I haven’t settled into a full naming convention that uses emoji but it seems like an interesting direction.
Agree also on the visual aesthetic of the graph. It’s not something that is incredibly useful all the time, but it does “spark joy” so I should keep it. 
Can you give some example note titles as sentences? I have a mix with a lot of topic/fact note titles where phrases don’t make sense, but for things like insights I have those do become phrases, much like Andy Matuschak. For example, in a set of notes extracted from some college notes I have a note titled Shannon's General Communication System which is just a diagram and a few short paragraphs describing the concept. I also have one called Signal characterization methods which just briefly describes how signals can be characterized in different ways, e.g. sync vs async, digital vs analog, etc. These are facts and concepts that don’t really have a rule applied, so they are what I would call reference notes (though that has connotations in ZK that I’m not applying here – I simply mean it is a knowledge base type item). But then I have my own insights I drew from notes which are written as sentences or phrases, like Discard information to gain clarity or Understand the observation scheme or Prefer links that connect knowledge over connecting notes.
I’m curious if you have the same variation in title types or if you force every title to be a phrase/sentence, and if so why.