One nice property of the Astar algorithm is that if a finite path exists between two nodes on an infinite order graph, and a good heuristic is chosen, then the Astar algorithm can find the shortest path with finite resources. One of the challenges is representing an infinite order graph in finite resources. Another challenge is making sure the heuristic is reasonable. However once those two issues are adequately addressed, searching for a shortest path on an infinite order graph can be done.

## Wednesday, October 20, 2010

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