In the following two questions Origins and applications of Theory A vs Theory B? and Solid applications of category theory in TCS?, many people shared their knowledge and opinions about the division of those two areas in theoretical CS.
I am a student in mathematics with experience in both graph theory and category theory, crucial mathematical knowledge for theory A and B, respectively, and I am seeking to learn more and probably even do some serious research in theoretical CS. I am interested in whether there are any intersections between theory A and B, and if so, are there any people who have done some work in the intersections or at least are there any references in this topic?