Use Prim's algorithm to find the minimum weighted spanning tree for the graph in figure K. Fill in the table below. M 4 a Possible Edges КА 3 e M 3. en h = + Mmimun உuge Total Weight Chosen Edge Weight

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 73P
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Use Prim's algorithm to find the minimum weighted spanning tree for the graph in figure
K. Fill in the table below.
4
a
miratimi
K4
Possible Edges
4
e
3
P
3
h
Minimum Bugt
Total Weight
Chosen Edge Weight
Transcribed Image Text:Use Prim's algorithm to find the minimum weighted spanning tree for the graph in figure K. Fill in the table below. 4 a miratimi K4 Possible Edges 4 e 3 P 3 h Minimum Bugt Total Weight Chosen Edge Weight
Expert Solution
Step 1
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.
Any edge can be used for starting.  
Usually we consider the lowest weight edge for starting.
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