Resource requirements for field programmable interconnection chips

  • Authors:
  • D. Bhatia;J. Haralambides

  • Affiliations:
  • -;-

  • Venue:
  • VLSID '95 Proceedings of the 8th International Conference on VLSI Design
  • Year:
  • 1995

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Abstract

In this paper we prove an /spl Omega/(n log n) lower bound on the number of edges of an n-permutation graph G=(V, E). The lower bound is applicable to and characterizes permutations for Field Programmable Interconnection Chips and, more importantly, permutation networks in general. We also propose a family of permutation networks as a variation of the known Benes network with a wide range of diameters, a network property directly related to routing delays. Finally, the relation between the total number of programmable switches and the routing delay (maximum length of routing paths for specific I/O permutations) is explored.