Abstract: This invention relates to a method to effect hop-by-hop routing in a network segment where different nodes have different views of the network topology. In particular, the methods of this invention are applicable when each node in a network or network segment may be aware of only a subset of the communication links in the network, without perceiving other communication links. Based on each node's individual view of the network, the method introduces the concept of a visibility set that includes all visible communication links. More specifically, an efficient algorithm is disclosed for searching for a family of one-to-all optimal feasible paths in communication network where different nodes may have different views of the network topology.