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GATE | GATE-CS-2006 | Question 48
Let T be a depth first search tree in an undirected graph G. Vertices u and n are leaves of this tree T. The degrees of both u and n in G are at least 2. which one of the following statements is true?
(A)
There must exist a vertex w adjacent to both u and n in G
(B)
There must exist a vertex w whose removal disconnects u and n in G
(C)
There must exist a cycle in G containing u and n
(D)
There must exist a cycle in G containing u and all its neighbours in G.
Answer
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