Regular Sparse Crossbar Concentrators

  • Authors:
  • Weiming Guo;A. Yavuz Oruç

  • Affiliations:
  • Univ. of Maryland at College Park, College Park, MD;Univ. of Maryland at College Park, College Park, MD

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1998

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Abstract

A bipartite concentrator is a single stage sparse crossbar switching device that can connect any m of its n驴m 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.