Question 6. (a) Construct a minimum spanning tree of the graph in Figure 1 using Kruskal algorithm. Whenever you have a choice between several edges, use the alphabetical order. List the edges in the order in which they are introduced in the tree. (Note: I have written the first edge, you need to add the other ones.) (a, d), (b) Construct a minimum spanning tree of the graph in Figure 1 using Prim's algorithm starting at node a. Whenever you have a choice between several nodes, use the alphabetical order. List the edges in the order in which they are introduced in the tree. (Note: I have written the first edge, you need to add the other ones.) (a, d),

Question 6. (a) Construct a minimum spanning tree of the graph in Figure 1 using Kruskal algorithm. Whenever you have a choice between several edges, use the alphabetical order. List the edges in the order in which they are introduced in the tree. (Note: I have written the first edge, you need to add the other ones.) (a, d), (b) Construct a minimum spanning tree of the graph in Figure 1 using Prim's algorithm starting at node a. Whenever you have a choice between several nodes, use the alphabetical order. List the edges in the order in which they are introduced in the tree. (Note: I have written the first edge, you need to add the other ones.) (a, d),

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

See similar textbooks

Related questions

Q: the minimum spanning tree

A: Given :- In the above given question , an undirected graph is mention below as,

Q: Use the following graph for this problem. Where needed and not determined by the d) algorithm,…

A: Note: As per our guidelines we can able to solve only three subdivisions at a time, In which D…

Q: FS traversal of the graph in Figure 1 starting at r he alphabetical order. List the nodes in the…

A: Solution - In the given question, we have to do DFS and BFS traversal for the given graph.

Q: B H) F Fig. 1

A: Here in this question we have given a graph.and we have akes to apply DFS on this graph and find…

Q: Q6. (.. ») Apply the backtracking algorithm for the 3-coloring problem on the graph below,…

A: The Answer is in step-2.

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Indicate whether the following statements are true or false: a. If e is a minimum-weight edge in a…

A: Indicate whether the following statements are true or false:a. If e is a minimum-weight edge in a…

Q: truct a minimum spanning tree of the graph given in the following figu s algorithm and Kruskal's…

A: Q.

Q: What is a general principle about the number of spanning trees in the given graphs? Σ a) b) TIAN XX…

A: A spanning tree is a subset of graph. It covers all the vertices with minimum possible number of…

Q: [Problem 9] Starting at vertex A, run Prim's algorithm on the following graph. You do not need to…

A: ORDER: (B, E), (E, D), (B, A), (A, F), (F, G), (E, C)

Q: (b) Label the vertices of the graph given below so that if DFS is run starting at vertex a and the…

A: Depth-first search is utilized in topological arranging, booking issues, cycle recognition in…

Q: Start from vertex A, use Prim's algorithm to find a minimum spanning tree (MST) for the following…

A: A Spanning Tree of a connected undirected weighted graph G is a subgraph of G that is a tree and…

Q: In graph traversal, Depth-First Search (DFS) order is “aggressive" in the sense that it examines…

Q: The number of spanning trees from the following graph are a

A: The answer is given in the steps below.

Q: 1. Use the depth-first algorithm to find a spanning tree.

A: With depth first algorithm a spanning tree of the given graph

Q: a) Find a minimum spanning tree using Prim’s algorithm. Use A as the start point and if there are…

A: One of the non-linear data structures that contain a number of nodes and edges connecting the nodes…

Q: 21a) Use Prim's algorithm to find a minimum spanning tree for the given weighted graph. Demonstrate…

A: Here is the solution for part a=>Prim's Algorithm

Q: 6. Find the spanning tree for the following graph starting from A: A G D E F H J I a. Using…

A: Given: We have to find the spanning tree for the following graph staring from A.

Q: Establish the graph using adjacent matrix and adjacent list. Create the following graph by adjacent…

A: // adjacency matrix of given graph int adjMatrix[10][10] = {{0, 0, 1, 1, 0, 0, 0, 1, 0, 1},…

Q: Describe an algorithm to find the shortest path from a certain vertex in a graph to a certain other…

A: 1. Bellman Ford's Algorithm: Bellman Ford's algorithm is used to find the shortest paths from the…

Q: 10 15 13 4 16 12 14 Consider the graph given above. Use Kruskal's algorithm to find the minimum…

A: Kruskal's algorithm is a grееdy algorithm that finds the minimum spanning trее (MST) of a graph. An…

Q: Use Kruskal's algorithm to find a minimal spanning tree for the following graph, explaining each…

A: Kruskal's algorithm is a popular algorithm used to find the minimum spanning tree (MST) of a given…

Concept explainers

Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

4. Consider the following graph. Apply Kruskal’s algorithm to find the minimum spanning tree and write the sequence of edges added to the tree. E B D A 15 5 I 2 4 3 6 10 5 H 12 TI F
A) Give the minimum spanning tree using Prim’s algorithm (starting at vertex A). B) Give the minimum spanning tree using Kruskal’s algorithm. C) What is the total weight of the minimum spanning tree?
D B E H) F Fig. 1
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
Question 3: Find the Minimum Spanning Tree for the given graph using Prim's algorithm and write the steps. A 4 2 11 с F 8 7 1 2 E D 6 B 7 4 2 G H 5 9 10 T
[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
Write algorithm ShortestPath (G, s) pre-cond: G is a (directed or undirected) graph, and s is one of its nodes. post-cond: π specifies a shortest path from s to each node of G, and d specifiestheir lengths.
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
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?
c. In graph traversal, Breadth-first Search (BFS) order is "Level order" in the sense that it explores the neighbour nodes first, before moving to the next level neighbours reachable from the source and its distance. A B E 3 5 F G Figure 2 ii) Perform Dijkstra's algorithm starting from node A. In which order does the algorithm visit the nodes, and what is the computed distance to each of them? There are several possible orders to visit the nodes; choose and show one possible path that can be taken.
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.
(a) Use Prim's Algorithm to find a minimum spanning tree for the graph. Be sure to indicate the order that the edges were added to the spanning tree. (b) Use Kruscal's Algorithm to find a minimum spanning tree for the graph. Be sure to indicate the order that the edges were added to the spanning tree.