A Tight Lower Bound on the Number of Channels Required for Deadlock-Free Wormhole Routing

Document Type



Computer Science (HMC)

Publication Date



Wormhole routing is widely employed in current generation multicomputers and the design of deadlock-free wormhole routing algorithms is an important problem. In this note, we prove a tight lower bound on the number of channels required by a broad class of deadlockfree wormhole routing algorithms. This result has applications in proving that certain topologies do not admit deadlock-free wormhole routing algorithms, as well as applications in the design and analysis of fault-tolerant wormhole routing algorithms.

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© 1998 Institute of Electrical and Electronics Engineers