Answering questions for minimum spanning tree problems, Operation Research

Answering questions for minimum spanning tree problems, Operation Research

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Sample Assignment for minimum spanning tree problems

For the subsequent graph get the minimum spanning tree. The numbers on the branches presents the cost.

Answer

C = {A}                                  C' = {B, C, D, E, F, G}

C = {A, D}                             C' = {B, C, E, F, G}

C = {A, D, B}                                    C' = {C, E, F, G}

C = {A, D, B, C}                    C' = {E, F, G}

C = {A, D, B, C, G}               C' = {E, F}

C = {A, D, B, C, G, F}          C' = {E}

C = {A, D, B, C, G, F, E}      C' = { }

The resulting network is

Cost = 2 + 1 + 4 + 3 + 3 + 5 = 18 units

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