Distributed Large Independent Sets in One Round on Bounded-Independence Graphs

  title={Distributed Large Independent Sets in One Round on Bounded-Independence Graphs},
  author={Magn{\'u}s M. Halld{\'o}rsson and Christian Konrad},
We present a randomized one-round, single-bit messages, distributed algorithm for the maximum independent set problem in polynomially bounded-independence graphs with poly-logarithmic approximation factor. Bounded-independence graphs capture various models of wireless networks such as the unit disc graphs model and the quasi unit disc graphs model. For instance, on unit disc graphs, our achieved approximation ratio is $$\mathrm {O} \frac{\log n}{\log \log n}^2$$. A starting point of our work… 
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