Problem 7 (Minimum Spanning Tree Algorithm) Write a C/C++ Program to implement Kruskal algorithm on your system to fin minimum spanning tree for the following Graph (A) and Graph (B). Please compile your answers in a file including (1) source code with comments, (2) program generated testing outputs (a minimum spanning tree), and (3) write a notes to discuss the data Structure that you present the graphs 2 2 3 6. LO 3. 4. of LO

Computer Networking: A Top-Down Approach (7th Edition)
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### Problem 7 (Minimum Spanning Tree Algorithm)

**Objective:**
Write a C/C++ program to implement the Kruskal algorithm on your system to find a minimum spanning tree for the following Graph (A) and Graph (B).

**Instructions:**

Please compile your answers in a file including:

1. **Source Code with Comments:**
   - Provide a well-documented C/C++ program implementing the Kruskal algorithm.

2. **Program Generated Testing Outputs (a Minimum Spanning Tree):**
   - Generate and include the minimum spanning tree as output from your program.

3. **Notes to Discuss the Data Structure:**
   - Write detailed notes discussing the data structure used to present the graphs.

---

#### Description of Graph (A):

Graph (A) is an undirected, weighted graph with the following vertices and edges:

- **Vertices:** a, b, c, d, e, f, g, h, i, j, k, l
- **Edges and Weights:**
  - (a, b) with a weight of 3
  - (a, d) with a weight of 4
  - (a, c) with a weight of 5
  - (b, e) with a weight of 2
  - (b, f) with a weight of 6
  - (c, d) with a weight of 2
  - (c, g) with a weight of 4
  - (d, e) with a weight of 1
  - (d, h) with a weight of 5
  - (e, f) with a weight of 3
  - (e, i) with a weight of 4
  - (f, j) with a weight of 5
  - (g, h) with a weight of 3
  - (g, k) with a weight of 6
  - (h, i) with a weight of 6
  - (h, k) with a weight of 7
  - (i, j) with a weight of 3
  - (i, l) with a weight of 5
  - (k, l) with a weight of 8

The graph is depicted as a series of interconnected nodes with the weights labeled on the connecting lines between nodes. The goal is to find the
Transcribed Image Text:### Problem 7 (Minimum Spanning Tree Algorithm) **Objective:** Write a C/C++ program to implement the Kruskal algorithm on your system to find a minimum spanning tree for the following Graph (A) and Graph (B). **Instructions:** Please compile your answers in a file including: 1. **Source Code with Comments:** - Provide a well-documented C/C++ program implementing the Kruskal algorithm. 2. **Program Generated Testing Outputs (a Minimum Spanning Tree):** - Generate and include the minimum spanning tree as output from your program. 3. **Notes to Discuss the Data Structure:** - Write detailed notes discussing the data structure used to present the graphs. --- #### Description of Graph (A): Graph (A) is an undirected, weighted graph with the following vertices and edges: - **Vertices:** a, b, c, d, e, f, g, h, i, j, k, l - **Edges and Weights:** - (a, b) with a weight of 3 - (a, d) with a weight of 4 - (a, c) with a weight of 5 - (b, e) with a weight of 2 - (b, f) with a weight of 6 - (c, d) with a weight of 2 - (c, g) with a weight of 4 - (d, e) with a weight of 1 - (d, h) with a weight of 5 - (e, f) with a weight of 3 - (e, i) with a weight of 4 - (f, j) with a weight of 5 - (g, h) with a weight of 3 - (g, k) with a weight of 6 - (h, i) with a weight of 6 - (h, k) with a weight of 7 - (i, j) with a weight of 3 - (i, l) with a weight of 5 - (k, l) with a weight of 8 The graph is depicted as a series of interconnected nodes with the weights labeled on the connecting lines between nodes. The goal is to find the
**Graph (B) Explanation**

The diagram is an undirected graph consisting of six nodes labeled \(a\), \(b\), \(c\), \(d\), \(e\), and \(f\). The edges between these nodes have associated weights, representing distances or costs. Here's a breakdown of the connections and their weights:

- Node \(a\) is connected to:
  - Node \(b\) with a weight of 3
  - Node \(f\) with a weight of 5
  - Node \(e\) with a weight of 6

- Node \(b\) is connected to:
  - Node \(c\) with a weight of 1
  - Node \(f\) with a weight of 4

- Node \(c\) is connected to:
  - Node \(d\) with a weight of 6
  - Node \(f\) with a weight of 4

- Node \(d\) is connected to:
  - Node \(e\) with a weight of 8
  - Node \(f\) with a weight of 5

- Node \(e\) is connected to:
  - Node \(f\) with a weight of 2

The graph is a visual representation of a network where each edge's weight could signify cost, length, or another measure of connection strength. This can be useful for algorithms in computer science to find the shortest path, minimum spanning tree, etc.
Transcribed Image Text:**Graph (B) Explanation** The diagram is an undirected graph consisting of six nodes labeled \(a\), \(b\), \(c\), \(d\), \(e\), and \(f\). The edges between these nodes have associated weights, representing distances or costs. Here's a breakdown of the connections and their weights: - Node \(a\) is connected to: - Node \(b\) with a weight of 3 - Node \(f\) with a weight of 5 - Node \(e\) with a weight of 6 - Node \(b\) is connected to: - Node \(c\) with a weight of 1 - Node \(f\) with a weight of 4 - Node \(c\) is connected to: - Node \(d\) with a weight of 6 - Node \(f\) with a weight of 4 - Node \(d\) is connected to: - Node \(e\) with a weight of 8 - Node \(f\) with a weight of 5 - Node \(e\) is connected to: - Node \(f\) with a weight of 2 The graph is a visual representation of a network where each edge's weight could signify cost, length, or another measure of connection strength. This can be useful for algorithms in computer science to find the shortest path, minimum spanning tree, etc.
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