R. Libeskindhadas, A TIGHT LOWER-BOUND ON THE NUMBER OF CHANNELS REQUIRED FOR DEADLOCK-FREE WORMHOLE ROUTING, I.E.E.E. transactions on computers, 47(10), 1998, pp. 1158-1160
Wormhole routing is widely employed in current generation multicompute
rs and the design of deadlock-free wormhole routing algorithms is an i
mportant problem. In this note, we prove a tight lower bound on the nu
mber of channels required by a broad class of deadlock-free wormhole r
outing algorithms. This result has applications in proving that certai
n topologies do not admit deadlock-free wormhole routing algorithms, a
s well as applications in the design and analysis of fault-tolerant wo
rmhole routing algorithms.