Each network node in a network is configured for calculating a directed acyclic graph that provides at least one path from all the other network nodes toward the one network node. The network node performs a modified shortest path first calculation by identifying next-hop nodes adjacent to the network node, and orienting the link of each next-hop node toward itself (i.e., the origin). The network node also identifies secondary adjacent nodes, adjacent to each of the next hop nodes, and extends paths from next-hop nodes to the associated secondary adjacent nodes while orienting each of the links of the path between adjacent nodes and next-hop nodes toward the next hop nodes. The paths of the nodes form a directed acyclic graph from any other network node toward the origin, enabling distribution of the directed acyclic graph to the other network nodes for optimized reachability to the network node.