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arXiv · 1312.1961

A Distributed Algorithm for Constructing a Minimum Diameter Spanning Tree

Marc Bui·Franck Butelle·Christian Lavault
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Abstract

We present a new algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of any (non-negatively) real-weighted graph $G = (V,E,ω)$. As an intermediate step, we use a new, fast, linear-time all-pairs shortest paths distributed algorithm to find an absolute center of $G$. The resulting distributed algorithm is asynchronous, it works for named asynchronous arbitrary networks and achieves $\mathcal{O}(|V|)$ time complexity and $\mathcal{O}\left(|V|\,|E|\right)$

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Marc Bui, Franck Butelle, Christian Lavault. 2013-12-11. A Distributed Algorithm for Constructing a Minimum Diameter Spanning Tree. https://arxiv.org/abs/1312.1961

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