- Computer Science Engineering (CSE)
- Design and Analysis of Algorithms
- Which of the following is false?

Q. |
## Which of the following is false? |

A. | the spanning trees do not have any cycles |

B. | mst have n – 1 edges if the graph has n edges |

C. | edge e belonging to a cut of the graph if has the weight smaller than any other edge in the same cut, then the edge e is present in all the msts of the graph |

D. | removing one edge from the spanning tree will not make the graph disconnected |

Answer» D. removing one edge from the spanning tree will not make the graph disconnected | |

Explanation: every spanning tree has n – 1 edges if the graph has n edges and has no cycles. the mst follows the cut property, edge e belonging to a cut of the graph if has the weight smaller than any other edge in the same cut, then the edge e is present in all the msts of the graph. |

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Design and Analysis of Algorithms

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