The papers entitled “Exact analytical solution of irreversible binary dynamics on network”, “Geometric evolution of complex networks”, and “Phase transition of the susceptible-infected-susceptible dynamics on time-varying configuration model networks” have been accepted and published in Phys. Rev. E.
The latter is a game-changer paper that describes transitions of the SIS dynamics on time-varying networks. Instead of having a single global critical exponent, we developed a framework to obtain critical exponents as a function of the degree of nodes. It leads to the new interpretation and understanding of hub and collective activations.
The paper Geometric evolution of complex networks introduces a new geometric model of complex networks. In doing so, we interpolate and quantify the phase transition of the network structure between the random and geometric phases; where the clustering coefficient goes from zero to a constant.
Links to the full texts, preprints and software are available on the publication page.