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arXiv · 0802.2847

On Dynamic Breadth-First Search in External-Memory

Ulrich Meyer
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Abstract

We provide the first non-trivial result on dynamic breadth-first search (BFS) in external-memory: For general sparse undirected graphs of initially $n$ nodes and O(n) edges and monotone update sequences of either $Θ(n)$ edge insertions or $Θ(n)$ edge deletions, we prove an amortized high-probability bound of $O(n/B^{2/3}+\sort(n)\cdot \log B)$ I/Os per update. In contrast, the currently best approach for static BFS on sparse undirected graphs requires $Ω(n/B^{1/2}+\sort(n))$ I/Os.

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Ulrich Meyer. 2008-02-20. On Dynamic Breadth-First Search in External-Memory. https://arxiv.org/abs/0802.2847

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