Consider a complete graph G with 3 vertices. The graph G has ____ spanning trees. Options 15 8 16 3
Question
Consider a complete graph G with 3 vertices. The graph G has ____ spanning trees.
Options 15
8
16
3
Solution
A complete graph with 3 vertices is a simple triangle. A spanning tree of a graph is a tree that includes every vertex of the graph.
For a triangle, there are exactly 3 spanning trees, each one is a line that connects all three vertices.
So, the correct answer is 3.
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