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Matroid Pathwidth and Code Trellis Complexity

Matroid Pathwidth and Code Trellis Complexity

We relate the notion of matroid pathwidth to the minimum trellis state-complexity (which we term trellis-width) of a linear code and to the pathwidth of a graph. By reducing from the problem of computing the pathwidth of a graph, we show that the problem of determining the pathwidth of a …