If the degrees of the vertices are 1, 2, 1, 3, 1, respectively, is G a tree? Why or why not?

Let G be a graph with vertex set V = {v1, v2, v3, v4, v5}.
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1 Answer

The sum of the degrees=8, so the number of edges is half of this=4.

The tree above has 5 vertices v1 to v5 with the respective degrees 1, 2, 1, 3, 1.

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