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arXiv · 1701.01587

An Optimal Randomized Broadcasting Algorithm in Radio Networks with Collision Detection

Ny Aina Andriambolamalala·Vlady Ravelomanana
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Abstract

We present a randomized distributed algorithm that in radio networks with collision detection broadcasts a single message in $O(D+\log^2 n)$ time slots, with high probability. In view of the lower-bound $\Omega(D+\log^2 n)$, our algorithm is optimal in the considered model answering the decades-old question of Alon, Bar-Noy, Linial and Peleg [JCSS 1991].

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Ny Aina Andriambolamalala, Vlady Ravelomanana. 2017-01-06. An Optimal Randomized Broadcasting Algorithm in Radio Networks with Collision Detection. https://arxiv.org/abs/1701.01587

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