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- W2611432367 abstract "We present a strengthening of the countable Menger theorem (edge version) of R. Aharoni. Let $ D=(V,A) $ be a countable digraph with $ sneq tin V $ and let $mathcal{M}=bigoplus_{vin V}mathcal{M}_v $ be a matroid on $ A $ where $ mathcal{M}_v $ is a finitary matroid on the ingoing edges of $ v $. We show that there is a system of edge-disjoint $ s rightarrow t $ paths $ mathcal{P} $ such that the united edge set of the paths is $ mathcal{M} $-independent, and there is a $ C subseteq A $ consists of one edge from each element of $ mathcal{P} $ for which $ mathsf{span}_{mathcal{M}}(C) $ covers all the $ srightarrow t $ paths in $ D $." @default.
- W2611432367 created "2017-05-12" @default.
- W2611432367 creator A5021133588 @default.
- W2611432367 date "2017-04-30" @default.
- W2611432367 modified "2023-09-27" @default.
- W2611432367 title "Countable Menger theorem with finitary matroid constraints on the ingoing edges" @default.
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- W2611432367 hasPublicationYear "2017" @default.
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