Multiaccess networks can create two challenges for OSPF regarding the flooding of LSAs:

The following formula can be used to calculate the number of required adjacencies. The number of adjacencies required for any number of routers (designated as n) on a multiaccess network is:

n (n – 1) / 2

Figure 1 shows a simple topology of four routers, all of which are attached to the same multiaccess Ethernet network. Without some type of mechanism to reduce the number of adjacencies, collectively these routers would form six adjacencies: 4 (4 - 1) / 2 = 6, as shown in Figure 2. Figure 3 shows that as routers are added to the network, the number of adjacencies increases dramatically.