Let G be a connected graph in which the average degree of vertices is larger than 2. Prove there exist vertices…

Let G be a connected graph in which the average degree of vertices is larger than 2. Prove there exist vertices…

Let G be a connected graph in which the average degree of vertices is larger than 2. Prove there exist vertices u, v ∈ V (G), such that there are two different (u, v)-paths.

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