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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 |
Answer» C. no minimum spanning tree contains ab | |
Explanation: 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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