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In python implement a special type of spanning tree in which a subset.pdf

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In python implement a special type of spanning tree in which a subset of the vertices nust be leaf node. The output spanning tree may not be a MST. So here is the problem: Input: undirected graph G=(V,E); edge weights w(e), and a subset U of the of the vertices. Jutput: a spanning tree that has nodes in U as leaf nodes and the total weight of the node is ninimum. Can you find an algorithm that runs in time 0(ElogV) time? Why? Or why not? Test your code on the following instance of the problem G=(V,E)V={A,B,C,D,E,F,G,H,I}E={(AB,10),(AC,12),(BC,9),(BD,8),(CE,3),(CF,1),(DE,7),(DG ,8),(DH,5),(EF,3)(FH,6),(G,H,9),(GI,2),(HI,11)}whereABisalinkwithweight10.J={A,D,F}..

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In python implement a special type of spanning tree in which a subset of the vertices nust be leaf node. The output spanning tree may not be a MST. So here is the problem: Input: undirected graph G=(V,E); edge weights w(e), and a subset U of the of the vertices. Jutput: a spanning tree that has nodes in U as leaf nodes and the total weight of the node is ninimum. Can you find an algorithm that runs in time 0(ElogV) time? Why? Or why not? Test your code on the following instance of the problem G=(V,E)V={A,B,C,D,E,F,G,H,I}E={(AB,10),(AC,12),(BC,9),(BD,8),(CE,3),(CF,1),(DE,7),(DG ,8),(DH,5),(EF,3)(FH,6),(G,H,9),(GI,2),(HI,11)}whereABisalinkwithweight10.J={A,D,F}.

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