Labeled graph #1 в K

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

 find a minimal spanning tree that connects all the vertices in Figure #1 without having any circuits

Labeled graph #1
в
18
E
J
K
L
Transcribed Image Text:Labeled graph #1 в 18 E J K L
Expert Solution
Step 1

For finding minimal spanning tree , we will use krushal's minimum spanning tree algorithm,

Steps to follow:

1. Arrange all weights in increasing order 

2. Starting from smallest weight include it in spanning tree and check if it is forming circuit or not. If it is forming circuit exclude it from the spanning tree otherwise include it.

3. Repeat the step until there are (V-1) edges in minimal spanning are obtained.

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