[criloz2]

I am also in the process of learning cat theory, I don't have a cs background, but I ending working as full-stack developer because it was economically more rewarding, I will recommend to programmers to have a good understanding of set theory, binary relations and order theory (linear orders, partial orders, lattices), it gives you very powerful abstractions that allow you to write new algorithms about anything.

[Koshkin]

I think graph theory covers all this at a reasonable level of abstraction.