 Despite their irreversible and nonequilibrium nature, these networks follow the Bose statistics and can be mapped to a Bose gas.In this mapping, each node is mapped to an energy state determined by its fitness and each new link attached to a given node is mapped to a Bose particle occupying the corresponding energy state.This mapping predicts that the Bianconi–Barabási model can undergo a topological phase transition in correspondence to the Bose–Einstein condensation of the Bose gas.