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arXiv · 1207.1836

Towards Tight Bounds for Local Broadcasting

Magnus M. Halldorsson·Pradipta Mitra
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Abstract

We consider the local broadcasting problem in the SINR model, which is a basic primitive for gathering initial information among $n$ wireless nodes. Assuming that nodes can measure received power, we achieve an essentially optimal constant approximate algorithm (with a $\log^2 n$ additive term). This improves upon the previous best $O(\log n)$-approximate algorithm. Without power measurement, our algorithm achieves $O(\log n)$-approximation, matching the previous best result, but with a simpler approach that works under harsher conditions, such as arbitrary node failures. We give complementary lower bounds under reasonable assumptions.

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Magnus M. Halldorsson, Pradipta Mitra. 2012-10-16. Towards Tight Bounds for Local Broadcasting. https://arxiv.org/abs/1207.1836

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