News Finding: Of course, communities that are vulnerable in this way don't automatically fail.
Paper Finding: Thus, these 10 million remaining users correspond to nodes with k s > 67.
News Context: "We find that the different online communities have different k-core distributions," they say. Of course, communities that are vulnerable in this way don't automatically fail. Before that can happen, the cost-to-benefit ratio must drop to a level that makes individuals likely to leave.
Paper Context: The search volume on that date is 14%, showing the validity of the assumption that the maximum amount of active users corresponds to those with coreness above 0. Thus, these 10 million remaining users correspond to nodes with k s > 67. Given these two reference points, we can approximate the collapse of the network through its "unraveling" per k-core.