Yeah, the UX/DX of the turning these algorithms into something usable is really interesting, and something I didn't get to talk much about.
With the variations on the push algorithm, you do kind of need to know the graph topology ahead of time, at least to be able to traverse it efficiently and correctly (this is the topological sorting thing). But for pull (and therefore for push-pull), the dependencies can be completely dynamic - in a programming language, you can call `eval` or something, or in a spreadsheet you could use `indirect` to generate cell references dynamically. For push-pull specifically, when you evaluate a node you would generally delete all of its upstream connections (i.e. for each cell it depends on currently, remove that dependency) and then rebuild that node's connections to the graph while evaluating it.
Signals libraries are exactly where I found this concept, and they work basically like you describe. I think this is a big part of what makes signals work so well in comparison to, say, RxJS - they're basically the same concept (here's a new reactive primitive, let's model our data in terms of this primitive and then plug that into the UI, so we can separate business logic from rendering logic more cleanly), but the behaviour of a signal is often easier to understand because it's not built from different combinators but just described in "ordinary" code. In effect, if observables are monads that need to be wired together with the correct combinators, then signals are do-notation.
With your push-pull algorithm, were you considering that the graph had already been built up, e.g. by an earlier pull phase? And the push-pull bit is just for subsequent updates? If so, then I think I'm following :).
I've been working in the context of reactivity on the backend where you're often loading up the calculations "from scratch" in a request.
I agree with your monad analogy! We looked into using something like Rx in the name of not reinventing the wheel. If you build out your calculation graph in a DSL like that, then you can do more analysis of the graph structure. But as you said in the article, it can get complicated. And Rx and co are oriented towards "push" flows where you always need to process every input event. In our context, you don't necessarily care about every input if the user makes a bunch of changes at once; it's very acceptable to e.g. debounce the end result.
do-notation -> dot-notation, right?