In a connected graph, a bridge is an edge whose removal disconnects a graph.…

GATE · 2015 · CS · Set 2 · Computer Science & IT

In a connected graph, a bridge is an edge whose removal disconnects a graph. Which one of the following statements is true?

  1. A.

    A tree has no bridges

  2. B.

    A bridge cannot be part of a simple cycle

  3. C.

    Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)

  4. D.

    A graph with bridges cannot have a cycle

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