[Solved] Which of the following is false?

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Q.	Which of the following is false?
A.	the spanning trees do not have any cycles
B.	mst have n – 1 edges if the graph has n edges
C.	edge e belonging to a cut of the graph if has the weight smaller than any other edge in the same cut, then the edge e is present in all the msts of the graph
D.	removing one edge from the spanning tree will not make the graph disconnected
Answer» D. removing one edge from the spanning tree will not make the graph disconnected
Explanation: every spanning tree has n – 1 edges if the graph has n edges and has no cycles. the mst follows the cut property, edge e belonging to a cut of the graph if has the weight smaller than any other edge in the same cut, then the edge e is present in all the msts of the graph.

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