A

Admin • 833K Points
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Q. 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?

  • (A) every minimum spanning tree of g must contain cd
  • (B) if ab is in a minimum spanning tree, then its removal must disconnect g
  • (C) no minimum spanning tree contains ab
  • (D) g has a unique minimum spanning tree

Explanation by: Admin

every mst will contain cd as it is smallest edge. so, every minimum spanning tree of g must contain cd is true. and g has a unique minimum spanning tree is also true because the graph has edges with distinct weights. so, no minimum spanning tree contains ab is false.

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