Which of the following statements are TRUE? 1. The problem of determining…

GATE · 2013 · CS · Computer Science & IT

Which of the following statements are TRUE?

1. The problem of determining whether there exists a cycle in an undirected graph is in P.

2. The problem of determining whether there exists a cycle in an undirected graph is in NP.

3. If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A.

  1. A.

    1, 2 and 3

  2. B.

    1 and 2 only

  3. C.

    2 and 3 only

  4. D.

    1 and 3 only

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