### Graph 2 - Educational Content#### For Items 49-52. Refer to Graph 249. **Using Prim’s Algorithm to find the minimum spanning tree in Graph 2 and starting with vertex 2.** The order of the first three (3) edges to be added on the graph could be:- **A.** (2,6), (3,6), (6,9)- **B.** (2,6), (6,9), (7,9)- **C.** (3,6), (6,9), (2,8)- **D.** (3,6), (2,8), (6,9)50. **What is the highest cost of the edge to be added in Graph 2 when finding the minimum spanning tree?**- **A.** 12- **B.** 10- **C.** 11- **D.** 16#### Explanation of the Graph:The graph displayed is a connected, undirected graph comprising nodes labeled from 1 to 16. The edges between these nodes are represented with numerical weights, signifying the cost or distance between connected nodes. Notably, some of the vertices include:- Vertex 1 connects to vertices 2 (weight 1) and 4 (weight 3), and other vertices with different weights.- Vertex 2 is connected primarily to vertices such as 6 (weight 3) and 9.- Vertex 8 connects to vertices including 5 (weight 12) and 10.To solve the questions using Prim’s Algorithm, start with the specified vertex (in this case, vertex 2) and sequentially add the minimum weighted edge that connects a new vertex to the growing spanning tree until all vertices are connected with the minimum possible total weight.For further visual understanding, students can trace the algorithm on the provided graph image, identifying the edges and their respective weights as they work through the given options. Prim’s Algorithm for reference:1. Initialize the spanning tree with a single vertex (chosen arbitrarily).2. Find the edge with the smallest weight that expands the growing spanning tree by adding a vertex not already in the tree.3. Repeat step 2 until all vertices are included in the spanning tree.These concepts are foundational for understanding graph theory applications in computer science and network design.

Answered: Image /qna-images/answer/97c0526b-70bb-41a3-a3d5-fac35d5787ee.jpg

For Items 49-52. Refer to Graph 2 49.Using Prim's Algorithm to find the minimum spanning tree in Graph 2 and starting with vertex 2. The order of the first three (3) edges to be added on the graph could be: A. (2,6), (3,6), (6,9) C. (3,6), (6,9), (2,8) D. (3,6), (2,8), (6,9) B. (2,6), (6,9), (7,9) 50. What is the highest cost of the edge to be added in Graph 2 when finding the minimum spanning tree? A. 12 C. 11 B. 10 D. 16

For Items 49-52. Refer to Graph 2 49.Using Prim's Algorithm to find the minimum spanning tree in Graph 2 and starting with vertex 2. The order of the first three (3) edges to be added on the graph could be: A. (2,6), (3,6), (6,9) C. (3,6), (6,9), (2,8) D. (3,6), (2,8), (6,9) B. (2,6), (6,9), (7,9) 50. What is the highest cost of the edge to be added in Graph 2 when finding the minimum spanning tree? A. 12 C. 11 B. 10 D. 16

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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