Math 2.0

Proposition

Robbins' theorem

Statement

In graph theory, Robbins' theorem, named after (txt), states that the graphs that have strong orientations are exactly the 2-edge-connected graphs. That is, it is possible to choose a direction for each edge of an undirected graph GG, turning it into a directed graph that has a path from every vertex to every other vertex, if and only if GG is connected and has no bridge.

Further reading

  1. Wikipedia, page 36633800, revision 1321322910, Robbins' theorem. adopted
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Changed4 November 2026

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