Leader Election in the SINR Model with Arbitrary Power Control

We study the Leader Election Problem in the Signal-to-Interference-plus-Noise-Ratio (SINR) model where nodes can adjust their transmission power. We show that in this setting it is possible to solve the leader election problem in two communication rounds, with high probability. Previously, it was known that Ω(log n) rounds were sufficient and necessary when using uniform power, where n is the number of nodes in the network.