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arXiv · 1405.3739

Fast Dynamic Pointer Following via Link-Cut Trees

Erik Demaine·Nathan Pinsker·Jon Schneider
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Abstract

In this paper, we study the problem of fast dynamic pointer following: given a directed graph $G$ where each vertex has outdegree $1$, efficiently support the operations of i) changing the outgoing edge of any vertex, and ii) find the vertex $k$ vertices `after' a given vertex. We exhibit a solution to this problem based on link-cut trees that requires $O(\lg n)$ time per operation, and prove that this is optimal in the cell-probe complexity model.

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Erik Demaine, Nathan Pinsker, Jon Schneider. 2014-05-15. Fast Dynamic Pointer Following via Link-Cut Trees. https://arxiv.org/abs/1405.3739

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