In the given graph, identify the cut vertices.

2018

In the given graph, identify the cut vertices.

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  1. A.

    B and E

  2. B.

    C and D

  3. C.

    A and E

  4. D.

    C and B

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Show answer & explanation

Correct answer: D

Answer: The cut vertices are B and C. Definition: An articulation point (cut vertex) is a vertex whose removal increases the number of connected components of the graph. B: Removing B disconnects the graph into two components: {A, D} and {C, E}. Therefore B is a cut vertex.

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