Packing directed circuits fractionally


LetG be a digraph, and letk≥1, such that no “fractional” packing of directed circuits ofG has value >k, when every vertex is given “capacity” 1. We prove there is a set ofO (k logk logk) vertices meeting all directed circuits ofG.

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Seymour, P.D. Packing directed circuits fractionally. Combinatorica 15, 281–288 (1995).

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Mathematics Subject Classification (1991)

  • 05 C 20
  • 05 C 38
  • 05 C 70