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arXiv · 1902.02499

A fast algorithm for constructing balanced binary search trees

Pavel S. Ruzankin
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Abstract

We suggest a new non-recursive algorithm for constructing a binary search tree given an array of numbers. The algorithm has $O(N)$ time and $O(1)$ memory complexity if the given array of $N$ numbers is sorted. The resulting tree is of minimal height and can be transformed to a complete binary search tree (retaining minimal height) with $O(\log N)$ time and $O(1)$ memory. The algorithm allows simple and effective parallelization.

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Pavel S. Ruzankin. 2019-02-07. A fast algorithm for constructing balanced binary search trees. https://doi.org/10.1007/s42979-022-01285-9

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