  The process of opinion depolarization is assumed to be mediated through
social networks, where interacting individuals reciprocally exert social
influence leading to a consensus. While network topology plays a decisive role
in many networked dynamical processes, its effect on depolarization dynamics
remains unclear. Here, we show that, in a recently proposed opinion
depolarization model, the threshold of the transition from correlated and
polarized opinions to consensus can vanish on heterogeneous social networks.
Our theoretical findings are validated by running numerical simulations on both
synthetic and real social networks, confirming that a polarized yet
heterogeneously connected population can reach a consensus even in the presence
of weak social influence.
