5) Find the minimum spanning tree of the following graph using Kruskal's algorithm. All steps of the solution arewritten in the details.8422768h7102

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Answered: 5) Find the minimum spanning tree of…

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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c) Form a binary search tree from the numbers given below using natural order (large number on right), inserting the numbers in the order they appear. 5, 10, 6, 18, 3, 2, 20 d) Use a depth-first search to find a spanning tree of the following graph. Start at the vertex a, and use alphabetical order. b d a f g с h i e
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() Write the difference between Spanning Tree and Minimum Spanning Tree (MST)? (ii) Calculate the cost of the MST for the below graph using (a) Prim's Algorithm. (b) Kruskal's Algorithm, Cleary write the steps in the algorithm and solve the problem. 17 20 10 25 6. K 10 F 12 10 H E.
[Problem 9] Starting at vertex A, run Prim's algorithm on the following graph. You do not need to draw all steps but you must display the final picture of the generated minimum spanning tree and the order of inclusion of edges into the tree, using standard notation (u,v) to represent an edge between hypothetical vertices u and v, in order to receive points. B A 1 2 D 3 F
b) Based on the depth-first search to create the minimum spanning tree for the following graph. (Assume that the vertices are selected in alphabetical order and the starting vertex is A) 6/7
Find minimum spanning tree from following graph using Prims and Kruskal’s Algorithm
2 в 22 A 6 3 D E 20 9 11 5. G 12 H Figure 4: Directed, weighted graph a) Write an adjacency matrix OR adjacency list to represent the graph in Figure 4. b) Use Dijkstra's algorithm to calculate the single-source shortest paths from vertex A to every other vertex. i Show your steps in the table below. As the algorithm proceeds, cross out old values and write in new ones, from left to right in each cell. If during your algorithm two unvisited vertices have the same distance, use alphabetical order to determine which one is selected first. i. List the vertices in the order in which Dijkstra's algorithm marks them known. 4.
a) Which edges would you keep for the minimum-weight spanning tree? (Indicate as vertex-vertex — eg. “K-P”... if there were vertices K and P.) b) Describe the algorithm you used to determine the minimum-weight spanning tree above. Did you face any challenges in applying this algorithm?
Do it soon i will give u thumsup
12. Prim's Algorithm Minimum Spanning Tree
Please implement this solution in python code
1. Use the graph below to answer the following questions. A B H 10 G 10 25 20 5 50 5 5 30 5 15 C 20 D F 15 E (a) Use Kruskal's Algorithm to produce a minimum spanning tree. Write down the edges that you choose in order of the algorithm. (b) Use Prim's Algorithm to produce a minimum spanning tree (assume A is the root/source). Write down the edges that you choose in order of the algorithm.

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5) Find the minimum spanning tree of the following graph using Kruskal's algorithm. All steps of the solution are written in the details. 8 4 2 2 7 6 8 h 7 10 2