- Computer Science Engineering (CSE)
- Design and Analysis of Algorithms
- Consider the graph M with 3 vertices. It...

Q. |
## Consider the graph M with 3 vertices. Its adjacency matrix is shown below. Which of the following is true? |

A. | graph m has no minimum spanning tree |

B. | graph m has a unique minimum spanning trees of cost 2 |

C. | graph m has 3 distinct minimum spanning trees, each of cost 2 |

D. | graph m has 3 spanning trees of different costs |

Answer» C. graph m has 3 distinct minimum spanning trees, each of cost 2 | |

Explanation: here all non-diagonal elements in the adjacency matrix are 1. so, every vertex is connected every other vertex of the graph. and, so graph m has 3 distinct minimum spanning trees. |

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Design and Analysis of Algorithms

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