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Edge connectivity vs Strong connectivity

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posted Jun 17 '12

kintali gravatar image Shiva Kintali flag of United States
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A directed graph $D$ is strongly connected if and only if $\forall$ $u,v$ there exists a directed path from $u$ to $v$. Prove that for an undirected graph $G$ the following two are equivalent :

  • $G$ is 2-edge-connected.

  • $G$ can be oriented such that the resulting directed graph is strongly-connected.

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Posted: Jun 17 '12

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