A technique efficiently determines acceptable link-based loop free alternates (LFAS) in a computer network. According to the novel technique, a protecting network device configured to protect a link (“protected link”) distinguishes other network devices (e.g., of the same domain as the protecting network device) as either network edge devices (i.e., an end point for external network traffic) or network core devices (i.e., not an end point for external network traffic). The protecting network device may then determine whether a neighboring network device loops toward a network edge device. If not, the protecting network device may determine that the neighboring network device is an acceptable LFA (e.g., for external network traffic). Notably, traffic directed to core devices may still loop, however, this traffic is generally internal (e.g., signaling) traffic, and may not be subject to the same operational constraints (e.g., protection) as external traffic.