The graph G, given above, is converted into a weighted graph wG= , as follows: wV = {(A, (1, 23)), (B, (2, 17)), (C, (3, 14)), (D,(4, 6)), (J, (5, 13)), (K, (6, 10)), (P, (5, 1)), (Q, (3, 7)), (R,(2, 5)), (X, (1, 12)), (Y, (4, 13)), ( Z, (6, 19))}; wE = {((A, B),5), ((A, K), 4), ((A, P), 3), ((B, C), 6), ((B, Q), 3), ((C, D),2), ((C, R), 3), ((D, J), 4) ((D, X), 2), ((J, K), 2), ((J, Y), 5),((K, Z), 6), ((P, R),3), ((P, Y), 5), ((Q, X), 4), ((Q, Z), 4),((R, Y), 1),
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