Article

Combinatorica

, Volume 15, Issue 2, pp 281-288

Packing directed circuits fractionally

  • P. D. SeymourAffiliated withBellcore

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Abstract

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.

Mathematics Subject Classification (1991)

05 C 20 05 C 38 05 C 70