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arXiv · 1605.02022

Deterministic MST Sparsification in the Congested Clique

Janne H. Korhonen
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Abstract

We give a simple deterministic constant-round algorithm in the congested clique model for reducing the number of edges in a graph to $n^{1+\varepsilon}$ while preserving the minimum spanning forest, where $\varepsilon > 0$ is any constant. This implies that in the congested clique model, it is sufficient to improve MST and other connectivity algorithms on graphs with slightly superlinear number of edges to obtain a general improvement. As a byproduct, we also obtain a simple alternative proof showing that MST can be computed deterministically in $O(\log \log n)$ rounds.

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Janne H. Korhonen. 2016-05-06. Deterministic MST Sparsification in the Congested Clique. https://arxiv.org/abs/1605.02022

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