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Paper detail

A Simple Algorithm for Optimal Search Trees with Two-Way Comparisons

We present a simple $O(n^4)$-time algorithm for computing optimal search trees with two-way comparisons. The only previous solution to this problem, by Anderson et al., has the same running time, but is significantly more complicated and is restricted to the variant where only successful queries are allowed. Our algorithm extends directly to solve the standard full variant of the problem, which also allows unsuccessful queries and for which no polynomial-time algorithm was previously known. The correctness proof of our algorithm relies on a new structural theorem for two-way-comparison search trees.

preprint2021arXivOpen access
Marek ChrobakMordecai GolinJ. Ian MunroNeal E. Young
Data Structures and Algorithms
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Marek ChrobakMordecai GolinJ. Ian MunroNeal E. Young

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