Istituto di Scienza e Tecnologie dell'Informazione     
Martelli A. On the complexity of admissible search algorithms. In: Artificial Intelligence, (8) pp. 1 - 13. North-Holland Publishing Company, 1976.
This paper analyzes the complexity of heuristic search algorithms, i.e algorithms which find the shortest path in a graph by using and estimate to guide the search. In particular, algorithm A*, due to Hart, Nilsson and Raphael, is shown to require O(2N) steps, in the worst case, for searching a graph with N nodes, if the so called "consistency assumption" does not hold for the estimate. Furthermore, a new search algorithm is presented which runs in O(Nē) steps in the worst case and which never requires more steps than A*.

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