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8th International Conference on VLSI Design
Resource requirements for field programmable interconnection chips
New Delhi, India
January 04-January 07
ISBN: 0-8186-6905-5
D. Bhatia, Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA
J. Haralambides, Dept. of Electr. & Comput. Eng., Cincinnati Univ., OH, USA
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.
Index Terms:
integrated circuit interconnections; graph theory; network routing; VLSI; field programmable interconnection chips; n-permutation graph; permutation networks; Benes network; network property; routing delays; programmable switches; routing paths; specific I/O permutations; VLSI; user-configured interconnection
Citation:
D. Bhatia, J. Haralambides, "Resource requirements for field programmable interconnection chips," vlsid, pp.376, 8th International Conference on VLSI Design, 1995
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