Computer Science · Graph Theory
Consider a connected undirected graph G with distinct edge weights. Let CD be the edge with the minimum weight and AB be the edge with the maximum weight in G. Which of the following statements is FALSE?
- 1G has a unique minimum spanning tree.
- 2No minimum spanning tree can contain AB.✓
- 3If AB is in a minimum spanning tree, then its removal must disconnect G.
- 4Every minimum spanning tree of G must contain CD.
Correct answer
No minimum spanning tree can contain AB.
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