A path graph with 7 edges has how many vertices?

Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

A path graph with 7 edges has how many vertices?

Explanation:
In a path graph, each edge extends the chain by adding one new vertex, so the total number of vertices equals the number of edges plus one. With seven edges, that gives seven plus one, which is eight vertices. If you see six vertices, that would correspond to five edges; nine vertices would correspond to eight edges, and seven vertices would correspond to six edges. The correct count is eight.

In a path graph, each edge extends the chain by adding one new vertex, so the total number of vertices equals the number of edges plus one. With seven edges, that gives seven plus one, which is eight vertices. If you see six vertices, that would correspond to five edges; nine vertices would correspond to eight edges, and seven vertices would correspond to six edges. The correct count is eight.

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