If you're interested in the mathematics underpinning parallel models of computing, and their relation to dependency graphs, I recommend looking at 'trace theory'. It's built on the abstract algebra of trace monoids.
Trace theory seems to have fallen out of academic fashion. I have a feeling it may have a resurgence of interest in coming decades, as it is useful for analysing concurrent systems.
Trace theory seems to have fallen out of academic fashion. I have a feeling it may have a resurgence of interest in coming decades, as it is useful for analysing concurrent systems.