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Shortest Paths in the Tower of Hanoi Graph and Finite Automata

Shortest Paths in the Tower of Hanoi Graph and Finite Automata

We present efficient algorithms for constructing a shortest path between two configurations in the Tower of Hanoi graph and for computing the length of the shortest path. The key element is a finiteā€state machine which decides, after examining on the average only a small number of the largest discs (asymptotically, ā€¦