In one embodiment, a management device receives one or more fate-sharing reports locally generated by one or more corresponding reporting nodes in a shared-media communication network, the fate-sharing reports indicating a degree of localized fate-sharing between one or more pairs of nodes local to the corresponding reporting nodes. The management device may then determine, globally from aggregating the fate-sharing reports, one or more fate-sharing groups indicating sets of nodes having a global degree of fate-sharing within the communication network. As such, the management device may then advertise the fate-sharing groups within the communication network, wherein nodes of the communication network are configured to select a plurality of next-hops that minimizes fate-sharing between the plurality of next-hops.