Abstract
We give two algorithms for the 1-1 routing problems on a mesh-connected computer. The first algorithm, with queue size 28, solves the 1-1 routing problem on an n/spl times/n mesh-connected computer in 2n+O(1) steps. This improves the previous queue size of 75. The second algorithm solves the 1-1 routing problem in 2n-2 steps with queue size 12 t/sub ss where t/sub s/ is the time for sorting an s/spl times/s mesh into a row major order for all s/spl ges/1. This result improves the previous queue size 18.67 t/sub ss.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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