Plain SINR is Enough!

We develop randomized distributed algorithms for many of the most fundamental communication problems in the wireless SINR model, including (multi-message) broadcast, local broadcast, coloring, MIS, and aggregation. The complexity of the algorithms is optimal up to polylogarithmic preprocessing time. It shows -- contrary to expectation -- that the plain vanilla SINR model is just as powerful and fast (modulo the preprocessing) as various extensions studied, including power control, carrier sense, collision detection, free acknowledgements, and GPS location. A key component of the algorithms is an efficient simulation of CONGEST algorithms on a constant-density SINR backbone.