What is the weight of the minimum spanning tree for the graph above found using Kruskal's Algorithm?

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06-05-2022
Mathematics

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What is the weight of the minimum spanning tree for the graph above found using Kruskal's Algorithm?

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-05-06T15:38:56-04:00

Answer:

39

Step-by-step explanation:

Kruskal's Algorithm has you add edges in order of weight, from least to greatest, excluding edges that form loops, until all nodes are connected.

__

Here, the edges have weights ...

5 -- AD, CE

6 -- DF

7 -- AB, BE

8 -- BC, EF

9 -- BD, EG

11 -- FG

15 -- DE

The edges shown in bold are ones that can be added without creating loops. Their total weight is 5×2 +6 +7×2 +9 = 39.

The weight of the minimum spanning tree is 39.

Sagot :

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