Which step in the link-state routing process involves a router running an algorithm to find the best path?

The step in the link-state routing process that involves a router running an algorithm to find the best path is executing the SPF (Shortest Path First) algorithm. This algorithm is fundamental to the operation of OSPF (Open Shortest Path First), a prominent link-state routing protocol.

When routers in an OSPF network share information about their links and the state of those links through Link State Advertisements (LSAs), they are collectively building a complete representation of the network topology. Once the topology is established, each router uses the SPF algorithm to analyze this information and calculate the shortest path to each destination in the network. This calculation is based on various metrics such as link cost, ensuring that the router can select the most efficient and reliable route.

After the SPF algorithm has been executed, the router updates its routing table with the best paths, enabling efficient data forwarding. This step is crucial for ensuring that OSPF can provide optimized routing in larger and more dynamic networks, where multiple paths and network changes are commonplace.