A novel fast reroute (FRR) technique is provided for quickly and efficiently rerouting selected types of network traffic in response to a node or link failure at the edge of a computer network. According to the technique, the network includes first and second edge devices that function as “FRR mates,” such that network traffic originally destined for one FRR mate may be quickly rerouted to the other without having to wait for conventional network convergence. When an edge device receives rerouted packets originally destined for its FRR mate, the device responds by forwarding only those rerouted packets matching the selected traffic types; rerouted packets that do not match the selected traffic types are dropped or otherwise discarded. The first and second edge devices may be statically configured as FRR mates, e.g., by a network administrator, or they may be configured to automatically detect their compatibility as FRR mates.