On the costs of optimal and near-optimal binary search trees |
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Authors: | Brian Allen |
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Affiliation: | (1) 8 Windridge Drive, L3P 1T8 Markham, Ontario, Canada |
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Abstract: | Summary We show that the cost of an optimal binary search tree can vary substantially, depending only on the left-to-right order imposed on the probabilities. We also prove that the costs of some common classes of near-optimal trees cannot be bounded above by the cost of an optimal tree plus a constant. This work was supported by the National Research Council of Canada, while the author was at the University of Waterloo |
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