Optimal deterministic routing and sorting on the congested clique

  title={Optimal deterministic routing and sorting on the congested clique},
  author={Christoph Lenzen},
Consider a clique of <i>n</i> nodes, where in each synchronous round each pair of nodes can exchange <i>O(log n)</i> bits. We provide deterministic constant-time solutions for two problems in this model. The first is a routing problem where each node is source and destination of <i>n</i> messages of size <i>O(log n)</i>. The second is a sorting problem where each node <i>i</i> is given <i>n</i> keys of size <i>O(log n)</i> and needs to receive the <i>i<sup>th</sup></i> batch of <i>n</i> keys… CONTINUE READING
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