ing Kruskal's Algorithm, the last edge to be added in finding the MST
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question

Transcribed Image Text:## Graph Analysis for Minimum Spanning Tree (MST)
Refer to the graph below to answer the following questions:
### Graph Description
The graph presents a network of nodes connected by edges, with each edge labeled with a numerical weight. The nodes are labeled A through H, and the edges have the following weights:
- Edge A - C: 4
- Edge A - B: 5
- Edge B - D: 3
- Edge C - D: 2
- Edge C - E: 5
- Edge D - F: 4
- Edge D - G: 6
- Edge E - F: 5
- Edge F - H: 3
- Edge G - H: 1
### Questions
**53. Using Kruskal’s Algorithm, the last edge to be added in finding the MST would be:**
A. (A,B)
B. (B,D)
C. (C,D)
D. (F,E)
**54. What is the cost of the minimum spanning tree?**
A. 15
B. 17
C. 20
D. 21
### Detailed Graph Explanation
- The graph shows nodes A to H connected by edges which are labeled with weights representing the cost to traverse from one node to another.
- The primary objective is to determine the minimum spanning tree (MST) using Kruskal’s Algorithm.
- Kruskal’s Algorithm involves sorting all the edges in the graph in ascending order by weight and then adding the smallest edge to the MST, ensuring that no cycles are formed, until all nodes are connected.
### Solving the Questions
For question 53, the last edge to be added in the process of forming the MST using Kruskal’s Algorithm is sought.
For question 54, the total cost of the MST is calculated by summing the weights of all the edges included in the MST.
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