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
icon
Related questions
Question
## 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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Breadth First Search Algorithm
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education