Let G be a graph with n vertices and exactly n ? 1 edges. Prove that G has either a vertex of degree 1 or an isolated vertex. (Please do this question using the "remove one vertex and adding it back again", but not contradiction)
Added by Ramon S.
Step 1
First, let's remove a vertex v from G. Since G has n vertices and n-1 edges, after removing v, the remaining graph G' has n-1 vertices and at most n-2 edges. Show more…
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