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Packing directed circuits fractionally

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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.

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Seymour, P.D. Packing directed circuits fractionally. Combinatorica 15, 281–288 (1995). https://doi.org/10.1007/BF01200760

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  • DOI: https://doi.org/10.1007/BF01200760

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