Statement is false. It should be:
Each router in OSPF broadcasts it's link state information to all the neighbor routers in one region in the network.
This is from wikipedia:
OSPF establishes and maintains neighbor relationships for exchanging routing updates with other routers. The neighbor relationship table is called an adjacency database. Two OSPF routers are neighbors if they are members of the same subnet and share the same area ID, subnet mask, timers and authentication. In essence, OSPF neighborship is a relationship between two routers that allow them to see and understand each other but nothing more
Each OSPF router within a network communicates with other neighboring routers on each connecting interface to establish the states of all adjacencies.
From the above statement:
Each router in OSPF broadcast its link state information from its neighbor router in its own region . It never broadcasts its routing table. Routers which are not in same region are communicated by border router via backbone zone (or backbone router).
So this statement is false.
