Before revision:  Indeed, we theoretically prove that nodes of high-degree  are disproportionately in the Removed state after a first wave of infection, which has very positive consequences.
After revision:  Indeed, human contact networks exhibit a powerlaw structure, which means immunizing nodes at random is extremely ineffective at slowing the epidemic, while immunizing high-degree nodes can efficiently guarantee herd immunity. We theoretically prove that nodes of high-degree are disproportionately in the Removed state after a first wave of infection, which has very positive consequences.