Work

Fast Dynamic Pointer Following via Link-Cut Trees

Year: 2014
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W1486790178
Cites: 7
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Related to: 10