Intermediate Discrete Mathematics & Math
Q66 / 100

In a connected simple graph with 7 vertices, what is the minimum number of edges required for the graph to remain connected?

Correct! Well done.

Incorrect.

The correct answer is B) 6

B

Correct Answer

6

Explanation

A connected graph on n vertices needs at least n-1 edges, achieved exactly by a tree. For n=7, the minimum is 6 edges; fewer would disconnect the graph (it would form a forest with multiple components).

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