Deadlock-Free Message Routing in Multiprocessor Interconnection Networks
Dally, W.J.; Seitz, C.L.
Computers, IEEE Transactions on
Volume C-36, Issue 5, May 1987 Page(s):547 - 553
Digital Object Identifier   10.1109/TC.1987.1676939
Summary:A deadlock-free routing algorithm can be generated for arbitrary interconnection networks using the concept of virtual channels. A necessary and sufficient condition for deadlock-free routing is the absence of cycles in a channel dependency graph. Given an arbitrary network and a routing function, the cycles of the channel dependency graph can be removed by splitting physical channels into groups of virtual channels. This method is used to develop deadlock-free routing algorithms for k-ary n-cubes, for cube-connected cycles, and for shuffle-exchange networks.

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