Routing algorithms on a mesh-connected computer

The authors present two algorithms for the 1-1 routing problems on a mesh-connected computer. The first algorithm, with a queue size of 28, solves the 1-1 routing problem on an n*n mesh-connected computer in 2n+O(1) steps. This improves the previous result of queue size 75. The second algorithm solves the problem in 2n-2 steps with queue size 12t/sub s//s where t/sub s/ is the time for sorting an s*s mesh into a row major order for all s>or=1. This result improves the previous result of size 18.67 t/sub s//s. Both algorithms have important applications in reducing the hardware cost on a mesh-connected computer.<
>