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Data Structure · Q166

Graph Algorithms (DFS, BFS, Dijkstras, etc)

Programming · Data Structure · question 166

Q166

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
Answer
D.
G has a unique minimum spanning tree

Answer: Option C

Solution

Answer: Option C
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