A Simple Solution to the Level-Ancestor Problem

March 04, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Gaurav Menghani, Dhruv Matani arXiv ID 1903.01387 Category cs.DS: Data Structures & Algorithms Citations 2 Venue arXiv.org Last Checked 4 months ago
Abstract
A Level Ancestory query LA($u$, $d$) asks for the the ancestor of the node $u$ at a depth $d$. We present a simple solution, which pre-processes the tree in $O(n)$ time with $O(n)$ extra space, and answers the queries in $O(\log\ {n})$ time. Though other optimal algorithms exist, this is a simple enough solution that could be taught and implemented easily.
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