Reference List: Categorical Network Theory

By "categorical network theory", I mean the study of networks or graphs using category theory. A lot of the time, the graphs in these works are morphisms in a category, or 1-cells in some sort of 2-dimensional category. Here are some papers on categorical network theory: 2013 Spivak, The operad of wiring diagrams: formalizing a … Continue reading Reference List: Categorical Network Theory

Reference List: Graph Products of Groups and Monoids

I made this list because I needed to generalize this concept a bit in my paper Noncommutative Network Models. Graph products of groups were introduced by Elisabeth Green in 1990 in her thesis. The idea was generalized to monoids by António Veloso da Costa in 2001. It's not a product of graphs, its a "product" … Continue reading Reference List: Graph Products of Groups and Monoids