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Both solutions are used: "More problematic than its time complexity is A*’s memory usage. In the worst case, it must also remember an exponential number of nodes. Several variants of A* have been developed to cope with this, including iterative deepening A* (IDA*), memory-bounded A* (MA*) and simplified memory bounded A* (SMA*) and recursive best-first search (RBFS)." Source and further information: http://en.wikipedia.org/wiki/A*_search_algorithm Information about Best-first search: http://en.wikipedia.org/wiki/Best-first_search Information about iterative deepening: http://en.wikipedia.org/wiki/Iterative_deepening_depth-first_search Information about recursive Best-first search: http://ai.fri.uni-lj.si/gregorl/Students/mui/Recursive%20Best-First%20Search.ppt
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