Patent 7774734 was granted and assigned to Microsoft on August, 2010 by the United States Patent and Trademark Office.
An algorithm referred to as REAL for the point-to-point shortest path problem combines A* search with landmark-based lower bounds and reach-based pruning. A symbiosis of these techniques is described, which gives a range of time and space tradeoffs, including those that improve both of these complexity measures. Locality is improved and exact reach computation is described.