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arXiv · 1805.06151

Improved Worst-Case Deterministic Parallel Dynamic Minimum Spanning Forest

Tsvi Kopelowitz·Ely Porat·Yair Rosenmutter
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Abstract

This paper gives a new deterministic algorithm for the dynamic Minimum Spanning Forest (MSF) problem in the EREW PRAM model, where the goal is to maintain a MSF of a weighted graph with $n$ vertices and $m$ edges while supporting edge insertions and deletions. We show that one can solve the dynamic MSF problem using $O(\sqrt n)$ processors and $O(\log n)$ worst-case update time, for a total of $O(\sqrt n \log n)$ work. This improves on the work of Ferragina [IPPS 1995] which costs $O(\log n)$ worst-case update time and $O(n^{2/3} \log{\frac{m}{n}})$ work.

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Tsvi Kopelowitz, Ely Porat, Yair Rosenmutter. 2018-05-16. Improved Worst-Case Deterministic Parallel Dynamic Minimum Spanning Forest. https://arxiv.org/abs/1805.06151

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