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arXiv · 1602.03713

A Distributed $(2+\epsilon)$-Approximation for Vertex Cover in $O(\log{\Delta}/\epsilon\log\log{\Delta})$ Rounds

Reuven Bar-Yehuda·Keren Censor-Hillel·Gregory Schwartzman
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Abstract

We present a simple deterministic distributed $(2+\epsilon)$-approximation algorithm for minimum weight vertex cover, which completes in $O(\log{\Delta}/\epsilon\log\log{\Delta})$ rounds, where $\Delta$ is the maximum degree in the graph, for any $\epsilon>0$ which is at most $O(1)$. For a constant $\epsilon$, this implies a constant approximation in $O(\log{\Delta}/\log\log{\Delta})$ rounds, which contradicts the lower bound of [KMW10].

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Reuven Bar-Yehuda, Keren Censor-Hillel, Gregory Schwartzman. 2016-02-11. A Distributed $(2+\epsilon)$-Approximation for Vertex Cover in $O(\log{\Delta}/\epsilon\log\log{\Delta})$ Rounds. https://arxiv.org/abs/1602.03713

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