In a graph G there is one and only one path between every pair of vertices…

2009

In a graph G there is one and only one path between every pair of vertices then G is a

  1. A.

    Path

  2. B.

    Walk

  3. C.

    Tree

  4. D.

    Circuit

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Correct answer: C

A graph where there is exactly one path between every pair of vertices is called a tree. This property implies the graph is connected and contains no cycles.

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