GATE | GATE-CS-2015 (Set 2) | Question 65

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

(A) A tree has no bridge

(B) A bridge cannot be part of a simple cycle
(C) Every edge of a clique with size ≥ 3 is a bridge (A clique is any complete subgraph of a graph)
(D) A graph with bridges cannot have a cycle


Answer: (B)

Explanation: A bridge in a graph cannot be a part of cycle as removing it will not create a disconnected graph if there is a cycle.

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