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On Dynamic Breadth-First Search in External-Memory

Author Ulrich Meyer

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Ulrich Meyer

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Ulrich Meyer. On Dynamic Breadth-First Search in External-Memory. In 25th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 1, pp. 551-560, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2008)


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 $Theta(n)$ edge insertions or $Theta(n)$ 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 $Omega(n/B^{1/2}+sort(n))$ I/Os.
  • External Memory
  • Dynamic Graph Algorithms
  • BFS
  • Randomization


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