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arXiv · 1010.1316

Searching in Dynamic Tree-Like Partial Orders

Brent Heeringa·Marius Catalin Iordan·Louis Theran
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Abstract

We give the first data structure for the problem of maintaining a dynamic set of n elements drawn from a partially ordered universe described by a tree. We define the Line-Leaf Tree, a linear-sized data structure that supports the operations: insert; delete; test membership; and predecessor. The performance of our data structure is within an O(log w)-factor of optimal. Here w <= n is the width of the partial-order---a natural obstacle in searching a partial order.

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Brent Heeringa, Marius Catalin Iordan, Louis Theran. 2011-05-02. Searching in Dynamic Tree-Like Partial Orders. https://arxiv.org/abs/1010.1316

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