How do you find the second minimum spanning tree of a graph, Mathematics

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How do you find the second minimum spanning tree of a graph?  Find the second minimum spanning tree of the following graph. 

2114_How do you find the second minimum spanning tree of a graph.png

Ans: The second minimum spanning tree is acquired through replacing the maximum weight edge in the first minimum spanning tree along with next highest weight edge in the graph. In the above graph, the second minimum spanning tree is acquired by replacing  (F, G) along with any one of the edge (C, F), (B, D), (D, G). So one of the second minimum spanning tree is {(F, E), (B, C), (E, D), (B, G), (A, G), (C, F)}.


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