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- W2952168941 abstract "We prove that Menger's theorem is valid for infinite graphs, in the following strong form: let $A$ and $B$ be two sets of vertices in a possibly infinite digraph. Then there exist a set $cp$ of disjoint $A$-$B$ paths, and a set $S$ of vertices separating $A$ from $B$, such that $S$ consists of a choice of precisely one vertex from each path in $cp$. This settles an old conjecture of Erdős." @default.
- W2952168941 created "2019-06-27" @default.
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- W2952168941 date "2005-09-18" @default.
- W2952168941 modified "2023-09-28" @default.
- W2952168941 title "Menger's theorem for infinite graphs" @default.
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