billycromebook billycromebook
  • 08-04-2021
  • Mathematics
contestada

Which is the cost of the minimum spanning tree of the weighted graph using Kruskal's Algorithm?
28
30
31
40

Which is the cost of the minimum spanning tree of the weighted graph using Kruskals Algorithm 28 30 31 40 class=

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sqdancefan
sqdancefan sqdancefan
  • 08-04-2021

9514 1404 393

Answer:

  (a)  28

Step-by-step explanation:

Kruskal's algorithm has  you identify the shortest edge at each stage, including in the tree any identified edge that does not form a cycle. Here, we can start with AB, then add DF, EH, HG, BG, AC, CD and that covers the entire graph.

Starting at E, the node list is EHGBACDF. The cost is ...

  3 +4 +5 +1 +6 +7 +2 = 28

__

In the attached, the minimum-cost spanning tree is highlighted in red.

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