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Computer Engineering
5 B 40 E 5 5 30 6. 35 D 8 H A LA 19 11 12 23 50 20 10 F F K B D F 6. 3. 3. 6. 2. 2. 2. 9, 2. 4.

5 B 40 E 5 5 30 6. 35 D 8 H A LA 19 11 12 23 50 20 10 F F K B D F 6. 3. 3. 6. 2. 2. 2. 9, 2. 4.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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В D G 5 40 E 3. 5 30 6. 35 8. A 2 A. 19 11 12 23 6. 50 20 10 F 2 K В 4 7 F G H 3. 6. 2. B. 3.
Transcribed Image Text:В D G 5 40 E 3. 5 30 6. 35 8. A 2 A. 19 11 12 23 6. 50 20 10 F 2 K В 4 7 F G H 3. 6. 2. B. 3.
4.74. Give an algorithm (or two) for finding a marimum weight spanning tree. Find a maximum weight spanning tree for each of the three graphs above.
Transcribed Image Text:4.74. Give an algorithm (or two) for finding a marimum weight spanning tree. Find a maximum weight spanning tree for each of the three graphs above.
Expert Solution
Step 1

MAXIMUM WEIGHT SPANNING TREES:

A spanning tree that has maximum weight is called a maximum spanning tree.

We can find this maximum weight spanning tree using Kruskal’s algorithm.

KRUSKAL’S ALGORITHM:

It is a greedy algorithm that is used to find the minimum or maximum spanning tree.

STEPS:

  1. Initially, only the vertices without edges are drawn.
  2. Then the edges are arranged in descending order based on their costs.
  3. The edge with the maximum cost is added to the tree.
  4. This process is continued for n-1 times until any loop is formed in the tree.
  5. The output of Kruskal’s algorithm is a single tree.

 

The algorithm’s time complexity is O(mlogn)

Where n is the number of nodes,

m is the number of edges.

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