A new technique breaks Dijkstra's 70-year-old record: it finds routes faster in huge networks, changing graph theory forever.

Hu and Torres have proposed a decomposition algorithm for finding the shortest paths between all pairs of nodes in a sparse network in which subnetworks are linearly overlapped. The purpose of this ...

problem is to find directed paths of shortest length from r to all other nodes in G or find a negative cycle, that is, a directed cycle of negative length. Many methods have been proposed for solving ...