Use Kruskal's algorithm to find the minimum spanning tree path K₂. List all of the edgesand list their weights in order in the chart below. In the third row of the table put YES isyou are using the edge or NO if you are not.EdgeWt.Select3daK3Marbet6The total weight of the minimum spanning tree is:

Answered: Use Kruskal's algorithm to find the…

Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Use Kruskal's algorithm to find the minimum spanning tree path K₂. List all of the edges
and list their weights in order in the chart below. In the third row of the table put YES is
you are using the edge or NO if you are not.
Edge
Wt.
Select
3
d
a
K3
Marbet
6
The total weight of the minimum spanning tree is:

Expert Solution

Step 1

In kruskal algo we note down the weights and then start from lowest weight and move on to cover the entire network. The edge which forms loop is not covered and the edge which is higher in weight to reach another point is also not covered.

Step1: Remove self loop forming edge

Step 2: Remove parallel edge having higher weight

Note: in this question these are not the cases so we will not conduct these steps.

the number of edges must be atleast n - 1 where n = vertex

Minimum spanning tree: Graph/route containing all the vertices (nodes) with minimum number of edges without forming a cycle.

There can be n number of spanning trees for a given problem. We need to make sure that we are covering the whole tree in minimum distance/weight/cost.

Least value edge to be used for starting.