UGC NET CS 2007 JunePaper2
October 13, 2023Algorithms
October 13, 2023Algorithms
Question 28

The graph shown below 8 edges with distinct integer edge weights. The minimum spanning tree (MST) is of weight 36 and contains the edges: {(A, C), (B, C), (B, E), (E, F), (D, F)}. The edge weights of only those edges which are in the MST are given in the figure shown below. The minimum possible sum of weights of all 8 edges of this graph is ______________.
69


70


71


72

⇒ Total sum = 10 + 9 + 2 + 15 + 7 + 16 + 4 + 6 = 69
–> First we compare AC and AB we find 9 at AC it means AB must greater than AC and for minimum possible greater value than 9 will be 10
> Second we compare BE and CD in which we select BE is 15 which CD possible weight 16.
> Third, we compare ED and FD in which we select FD 6 means ED must be greater than 6 so possible value greater than 6 is 7 .
Note: Add First+Second+Third=(AB=10)+(CD=16)+(ED=7)
⇒ Total sum = 10 + 9 + 2 + 15 + 7 + 16 + 4 + 6 = 69
–> First we compare AC and AB we find 9 at AC it means AB must greater than AC and for minimum possible greater value than 9 will be 10
> Second we compare BE and CD in which we select BE is 15 which CD possible weight 16.
> Third, we compare ED and FD in which we select FD 6 means ED must be greater than 6 so possible value greater than 6 is 7 .
Note: Add First+Second+Third=(AB=10)+(CD=16)+(ED=7)