- Computer Science Engineering (CSE)
- Design and Analysis of Algorithms
- Which of the following edges form minimu...

Q. |
## Which of the following edges form minimum spanning tree on the graph using kruskals algorithm? |

A. | (b-e)(g-e)(e-f)(d-f) |

B. | (b-e)(g-e)(e-f)(b-g)(d-f) |

C. | (b-e)(g-e)(e-f)(d-e) |

D. | (b-e)(g-e)(e-f)(d-f)(d-g) |

Answer» A. (b-e)(g-e)(e-f)(d-f) | |

Explanation: using krushkal’s algorithm on the given graph, the generated minimum spanning tree is shown below. |

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Design and Analysis of Algorithms

- If all the weights of the graph are positive, then the minimum spanning tree of the graph is a minimum cost subgraph.
- Which of the following is not the algorithm to find the minimum spanning tree of the given graph?
- Every graph has only one minimum spanning tree.
- Which of the following is false in the case of a spanning tree of a graph G?
- Consider a complete graph G with 4 vertices. The graph G has spanning trees.
- Consider the graph shown below. Which of the following are the edges in the MST of the given graph?
- From the given graph, how many vertices can be matched using maximum matching in bipartite graph algorithm?
- A k-regular bipartite graph is the one in which degree of each vertices is k for all the vertices in the graph. Given that the bipartitions of this graph are U and V respectively. What is the relation between them?
- Consider a undirected graph G with vertices { A, B, C, D, E}. In graph G, every edge has distinct weight. Edge CD is edge with minimum weight and edge AB is edge with maximum weight. Then, which of the following is false?
- How many spanning trees does a complete bipartite graph contain?

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