Two routers functioning as DR other on a broadcast link will establish which kind of OSPF neighbor state with each other?

In an OSPF (Open Shortest Path First) network, a broadcast link, such as Ethernet, utilizes a designated router (DR) and a backup designated router (BDR) to optimize the routing process. When two routers are configured as designated routers (DRs) on the same broadcast link, they will not establish a full adjacency with each other.

Instead, they will reach a 2-Way state. This is an important aspect of OSPF's operation, as the 2-Way state indicates that routers are acknowledging each other but are not fully exchanging routing information. This state allows the routers to discover who the other OSPF neighbors are on the network segment without creating unnecessary overhead. The 2-Way state is particularly relevant in multi-access networks to prevent the establishment of full connections between every router, which can lead to inefficiency.

In contrast, establishing a full state would mean that the routers are exchanging complete link-state information, which is not required between DRs, as they act to consolidate this information for the network. The presence of more than one DR would create routing information loops and excessive updates, which OSPF is designed to avoid.