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math.CO2018★ 1 cited
Packing A-Paths of Length Zero Modulo Four
Henning Bruhn, Arthur Ulmer
We show that A-paths of length 0 modulo 4 have the Erdős-Pósa property. We also prove that A-paths of length 2 modulo 4 have the property but that A-paths of length 1 or of length…
math.CO2018★ 1 cited
Directed cycles have the edge-Erd\H os-Pósa property
Matthias Heinlein, Arthur Ulmer
In this short note we prove that for every there is a such that for every digraph there are either edge-disjoint directed cycles in …