I like the idea about typing in the graph view to search for notes. But as for the filtering part, I would suggest something a bit different: Do not filter anything away from the current graph view, but instead highlight all nodes that match what you have typed, and if some nodes are not visible, pan and zoom the view so that it includes all the highlighted nodes.
I’d like to quickly search notes in the graph, but I don’t want to filter other notes out, because I still want to see all the relations and “the big picture”. I just need this kind of feature to see where a specific note(s) is located in the graph. And this is just temporary searching.
I use the current filtering system for a different thing: to define permanent filters to exclude notes that I’m not interested to see in the graph ever. I only rarely go to edit this filter. That’s why I’d like to have a separate “temporary quick search” feature in the graph view.
Would there be a way to implement both my suggestion and @Block6791’s suggestion? Perhaps a setting that defines how the “quick search” thing should work?