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Timeline for Proving edge connectivity

Current License: CC BY-SA 2.5

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May 15, 2010 at 21:20 comment added David Eppstein Or, similarly but maybe a little more simply: let {u,v} be a two-vertex cut, and let x and y be vertices on opposite sides of the cut. If G were 5-edge-connected then there would be five edge-disjoint paths from x to y, each of which passes through u or v (or both); therefore, by the pigeonhole principle, at least three of the paths would have to go through one of the two vertices u and v, an impossibility.
May 15, 2010 at 20:38 history edited Tony Huynh CC BY-SA 2.5
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May 15, 2010 at 19:41 history edited Tony Huynh CC BY-SA 2.5
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May 15, 2010 at 19:30 history answered Tony Huynh CC BY-SA 2.5