Constructive algorithm for path-width of matroids

  title={Constructive algorithm for path-width of matroids},
  author={Jisu Jeong and Eun Jung Kim and Sang-il Oum},
Given n subspaces of a finite-dimensional vector space over a fixed finite field F, we wish to find a linear layout V1, V2, . . . , Vn of the subspaces such that dim((V1+V2+· · ·+Vi)∩(Vi+1+· · ·+Vn)) ≤ k for all i; such a linear layout is said to have width at most k. When restricted to 1-dimensional subspaces, this problem is equivalent to computing the path-width of an F-represented matroid in matroid theory and computing the trellis-width (or minimum trellis state-complexity) of a linear… CONTINUE READING


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