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## Hamiltonian Path Problem Multiple choice Questions and Answers (MCQs)

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Question 11 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**What is the time complexity for finding a Hamiltonian path for a graph having N vertices (using permutation)?**

O(N!) | |

O(N! * N) | |

O(log N) | |

O(N) |

Question 11 Explanation:

For a graph having N vertices traverse the permutations in N! iterations and it traverses the permutations to see if adjacent vertices are connected or not takes N iterations (i.e.) O(N! * N).

Question 12 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**How many Hamiltonian paths does the following graph have?**

1 | |

2 | |

3 | |

4 |

Question 12 Explanation:

The above graph has only one Hamiltonian path that is from a-b-c-d-e.

Question 13 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**How many Hamiltonian paths does the following graph have?**

1 | |

2 | |

0 | |

3 |

Question 13 Explanation:

The above graph has no Hamiltonian paths. That is, we cannot traverse the graph with meeting vertices exactly once.

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