The modeling of polycule dynamics is an open question, but it can be best approximated from the Erdős–Rényi model of the random graph.

A site with statistics regarding the decentralization status of various web services

Nice proposal for quickly writing undirected graphs in text.

Neat applications of category theory to chemical reactions.

Every time I read a page on nLab, my brain grows just a tad larger.

Scientists and engineers use diagrams of networks in many different ways. Together with many collaborators I am studying networks with the tools of modern mathematics, such as category theory. You can read blog articles, papers and a book about our research. I am collaborating with the Topos Institute to use the resulting math for scientific computation, such as quickly adaptable models of infectious disease.

Collection of notes on the intersection of networks and categories by one of the contemporary GOATs of category theory.