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Regular Sparse Crossbar Concentrators
March 1998 (vol. 47 no. 3)
pp. 363-368

Abstract—A bipartite concentrator is a single stage sparse crossbar switching device that can connect any m of its nm inputs to its m outputs, possibly without the ability to distinguish their order. Fat-and-slim crossbars were introduced recently to show that bipartite concentrators can be constructed with a minimum number of crosspoints for any number of inputs and outputs. We generalize these graphs to obtain bipartite concentrators with nearly a fixed fanout without altering their (n$-$m + 1)m crosspoint complexity. We also present an O(log n)-time algorithm to route arbitrary concentration assignments on this new family of fat-and-slim crossbars.

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Index Terms:
Bipartite graph, concentrator, crosspoint complexity, regular sparse crossbar.
Weiming Guo, A. Yavuz Oruç, "Regular Sparse Crossbar Concentrators," IEEE Transactions on Computers, vol. 47, no. 3, pp. 363-368, March 1998, doi:10.1109/12.660174
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