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Published May 1992 | Published
Book Section - Chapter Open

VLSI decompositions for deBruijn graphs

Abstract

A C-chip VLSI decomposition of a graph G is a collection of C isomorphic disjoint subgraphs of G (the building blocks), which together contain all of G's vertices. The efficiency of such a decomposition is defined to be the fraction of edges of G that are in the building block. Motivated by the need to construct large Viterbi decoders, the authors study VLSI decompositions of deBruijn graphs. They obtain some strong necessary conditions for a graph to be a building block for a deBruijn graph, and some slightly more restrictive sufficient conditions which allow the construction of some efficient building blocks for deBruijn graphs.

Additional Information

© 1992 IEEE. The research described in this paper was partially carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. Tsz-Mei Ko's contribution was also supported by National Security Agency Grant No. MDA904-90-H-1007. Robert McEliece's contribution was also supported by AFOSR grant 91-0037 and a grant from Pacific Bell.

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