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arXiv · 1707.02414

Efficient Dynamic Approximate Distance Oracles for Vertex-Labeled Planar Graphs

Itay Laish·Shay Mozes
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Abstract

Let $G$ be a graph where each vertex is associated with a label. A Vertex-Labeled Approximate Distance Oracle is a data structure that, given a vertex $v$ and a label $\lambda$, returns a $(1+\varepsilon)$-approximation of the distance from $v$ to the closest vertex with label $\lambda$ in $G$. Such an oracle is dynamic if it also supports label changes. In this paper we present three different dynamic approximate vertex-labeled distance oracles for planar graphs, all with polylogarithmic query and update times, and nearly linear space requirements.

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Itay Laish, Shay Mozes. 2017-07-08. Efficient Dynamic Approximate Distance Oracles for Vertex-Labeled Planar Graphs. https://arxiv.org/abs/1707.02414

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