b) Consider graph G=(V, E) with six nodes and eight edges. The edges have distinct integer weights. a 17 b e 10 Z f d 6 The minimum spanning tree of G is constructed by Kruskal's algorithm and is shown in tree MST below: a 17 b e 10 Long 2 7 C 6 The edge weights of only those edges that are in the MST are given in graph G. What is the minimum possible summation of edge weights for the edges (a, b), (e, d), (c, d)? (5 points) As you justify your answer for edge weights, please use graph G and apply Kruskal's algorithm to obtain the MST step by step (5 points). Show and explain all your work. 2 7

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b) Consider graph G=(V, E) with six nodes and eight edges. The edges have distinct integer
weights.
a
17
b
10
7
2
f
6
The minimum spanning tree of G is constructed by Kruskal's algorithm and is shown in tree MST
below:
a
17
101
10
7
C
f
d
6
The edge weights of only those edges that are in the MST are given in graph G. What is the
minimum possible summation of edge weights for the edges (a, b), (e, d), (c, d)? (5 points)
As you justify your answer for edge weights, please use graph G and apply Kruskal's algorithm to
obtain the MST step by step (5 points). Show and explain all your work.
Transcribed Image Text:b) Consider graph G=(V, E) with six nodes and eight edges. The edges have distinct integer weights. a 17 b 10 7 2 f 6 The minimum spanning tree of G is constructed by Kruskal's algorithm and is shown in tree MST below: a 17 101 10 7 C f d 6 The edge weights of only those edges that are in the MST are given in graph G. What is the minimum possible summation of edge weights for the edges (a, b), (e, d), (c, d)? (5 points) As you justify your answer for edge weights, please use graph G and apply Kruskal's algorithm to obtain the MST step by step (5 points). Show and explain all your work.
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