Question: Let G be a graph on 3 vertices, each connected to the other 2 by an edge, and such that each edge has weight 1

Let G be a graph on 3 vertices, each connected to the other 2 by an edge,
and such that each edge has weight 1. Since every edge has the same weight,
every edge is a light edge for a cut which it spans. However, if we take all edges
we get a cycle

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