A linear-processor polylog-time algorithm for shortest paths in planar graphs
Philip N. Klein, Sairam Subramanian · 2002
We give an algorithm requiring polylog time and a linear number of processors to solve single-source shortest paths in directed planar graphs, bounded-genus graphs, and 2-dimensional overlap graphs. More generally, the algorithm works for any graph provided with a decomposition tree constructed using size-O(/spl radic/n polylog n) separators.>