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## Data Structure Questions and Answers-Multigraph and Hypergraph

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Question 1 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**Given Adjacency matrices determine which of them are PseudoGraphs?**

i) {{1, 0} {0, 1}}

ii) {{0, 1}{1, 0}}

** iii) {{0, 0, 1}{0, 1, 0}{1, 0, 0}} **

only i) | |

ii) and iii) | |

i) and iii) | |

i) ii) and iii) |

Question 1 Explanation:

In i) self loops exist for both the vertices, in iii) self loop exists in the second vertex.

Question 2 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**All undirected Multigraphs contain eulerian cycles.**

True | |

False |

Question 2 Explanation:

Only graphs with every vertex having even degree have eulerian circuits or cycles.

Question 3 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**Determine the number of vertices for the given Graph or Multigraph?**

** G is a 4-regular Graph having 12 edges. **

3 | |

6 | |

4 | |

Information given is insufficient |

Question 3 Explanation:

Sum of degrees of all the edges equal to 2 times the number of edges. 2*12=4*n, n=>6.

Question 4 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**Which of the following statement is true.**

There exists a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9 | |

There exists a MultiGraph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9 | |

There exists a MultiGraph as well as a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9 | |

None of the mentioned |

Question 4 Explanation:

If a vertex has a degree 9 that means it is connected to all the other vertices, in case of Multigraphs for an isolate verte, x and a multiple edge may compensate.

Question 5 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

**Given Adjacency matrices determine which of them are PseudoGraphs?**

i) {{1, 0} {0, 1}}

ii) {{0, 1}{1, 0}}

** iii) {{0, 0, 1}{0, 1, 0}{1, 0, 0}} **

only i) | |

ii) and iii) | |

i) and iii) | |

i) ii) and iii) |

Question 5 Explanation:

In i) self loops exist for both the vertices, in iii) self loop exists in the second vertex.

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