Our preprint Colorful Exponential Random Graph Models, joint with Bhaswar B. Bhattacharya, Ankan Ganguly and Giulio Zucal, is now available on arXiv:2608.31130v1.
We study random networks with several types of edge relations. Using probability graphons, we describe their large-network behaviour through an energy–entropy variational problem, from homogeneous colour mixing to structured phases. Examples include induced wedges and rainbow triangles.