Which of the following statement is false?

2006

Which of the following statement is false?

  1. A.

    Every tree is a bipartite graph

  2. B.

    A tree contains a cycle

  3. C.

    A tree with n nodes contains (n−1) edges

  4. D.

    A tree is connected graph

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Correct answer: B

Trees are defined as connected graphs with no cycles. Therefore, the statement claiming a tree contains a cycle is false. Option A is true because trees lack odd cycles, making them bipartite. Since the question asks for the false statement, Option B is the correct answer.

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