Proof: given 2 nodes u and v, IF for each pair of paths between u and v there is a common in-between node, then there is a GLOBAL common in-between node (a.k.a. articulation point) shared by all paths between u and v ??

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Proof: given 2 nodes u and v, IF for each pair of paths between u and v there is a common in-between node, then there is a GLOBAL common in-between node (a.k.a. articulation point) shared by all paths between u and v ??

Автор pabloskimg, история, 7 лет назад, По-английски

Given 2 nodes u and v, IF for each pair of paths between u and v there is a common in-between node, THEN there is a GLOBAL common in-between node (a.k.a. articulation point) shared by all paths between u and v.

tl;dr does pairwise imply global?

Is this true? Any formal proofs?