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Packing directed circuits fractionally
Authors:P. D. Seymour
Affiliation:(1) Bellcore, 445 South St., 07960 Morristown, New Jersey, USA
Abstract:LetG be a digraph, and letkge1, such that no ldquofractionalrdquo packing of directed circuits ofG has value >k, when every vertex is given ldquocapacityrdquo 1. We prove there is a set ofO (k logk logk) vertices meeting all directed circuits ofG.
Keywords:05 C 20  05 C 38  05 C 70
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