BGP (Border Gateway Protocol) deals with failed routers by using its routing table to redirect traffic around the failed router. BGP uses a complex process called path selection to determine the best path for traffic to take, taking into account factors such as network policies and link capacity. If a router fails, BGP will remove it from its routing table and recalculate the best path for traffic to take. This may involve rerouting traffic through other routers or taking a different path altogether. BGP is designed to be highly resilient to failures, and can quickly adapt to changes in the network topology to ensure that traffic continues to flow smoothly.