Which network topology type has the longest EIGRP convergence time?

In a ring, each node has only two neighbors and there is typically a single alternative path around the ring - when a link fails and no feasible successor exists in the topology table, EIGRP goes active and query messages must traverse every router in the ring before replies return, maximizing the time to converge compared to any other common topology.

A tree topology limits EIGRP query scope to specific branches and subtrees, so active-state queries do not need to propagate through the entire network before convergence.

A star topology confines failures to individual spoke links and limits queries to the hub and the affected spoke, resulting in a very small query domain and fast convergence.

Full mesh topologies provide every router with direct connections to all others, maximizing feasible successor availability and allowing EIGRP to converge immediately without going active in most failure scenarios.