Question:

The cut vertex set of the graph is

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Cut vertices (articulation points) are critical for the connectivity of a graph. Removing them can split the graph into separate components.
Updated On: May 4, 2025
  • \{D, B\}
  • \{C, A\}
  • \{A, E\}
  • \{C, D\}
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The Correct Option is A

Solution and Explanation

A cut vertex is a vertex whose removal results in increasing the number of connected components in a graph. In this graph, removing D or B disconnects the graph.
Therefore, D and B are the cut vertices.
Thus, the correct answer is 1. \{D, B\}.
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