Answered: 12. Use Prim's algorithm to construct a…

12. Use Prim's algorithm to construct a minimum spanning tree starting with node a. Indicate the order in which the edges are added. 5 b 2 2 3 d 3 10 1 e 20

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: 27. Apply Kruskal's algorithm to find the minimum spanning tree. Answer by drawing the edges you use…

A: the answer is given below ;

Q: 1. Apply the Depth First Search (DFS) Traversal Algorithm for the following Graph and Show the DFS…

A: Q1: DFS

Q: Implement RBFS algorithm and draw the search tree for the following search space. (Assume start…

A: RBFS stands for Recursive Breadth First Search and this is a type of A* algorithm. In this…

Q: 4 a) Draw minimum cost spanning tree by applying Kruskal's algorithm b) write the sequence of edges…

A: A minimum spanning tree is a subset of a graph with the same number of vertices as the graph and…

Q: Generate the shortest path tree using the Dijkstra Algorithm using the following format: Note:…

A: Introduction: A tree is a network of nodes and links, with the root node being the central node.…

Q: 1. Write a Program to implement DFS algorithm and print the DFS sequence for below graph start with…

A: def dfs(graph, start,visited = []): if start in visited: return…

Q: 7. Given the following graph, give the visited node ordering of each type of graph search algorithm,…

A: A data structure is a named location that can be used to store and organize data.an algorithm is a…

Q: B 1 A 7 с 2 N E F 10 G

A: We are given a graph with 7 vertices and it contains edges with weights in it. We are going to draw…

Q: 3. Find the shortest path from c to fusing the Dijkstra's algorithm in graph K3. Fill in the table…

A: As per the question you need to find out the shortest distance between node c to node f, therefore…

Q: III. Construct a minimum spanning tree using Kruskal's algorithm. 5 10 в с D IV. What was the…

A: Note-since your question contain multiple question but we can answer only one question due to our…

Q: Q.No.5. 50 a) Find the shortest path from source 10 node 1 to every other node using suitable Graph…

Q: G In the graph above, S is the Start State, G is the Goal State, Show the node expansion order using…

A: A directed graph is given in the question. It is asked to show the node expansion by applying BFS…

Q: A B D с G F E 5. For the following graph, (a) perform depth-first search by showing the changes of…

A: See below step for complete explanation:

Q: *4. Tree Diam The diameter of a co an algorithm to com

A: Nodes make up a tree, which is a form of hierarchical data structure. Nodes, which are joined by…

Q: Minimum Spanning Tree of a graph includes all its nodes Both the lazy and eager versions of Prims…

A: 1. Minimum Spanning Tree of a graph includes all its nodes. TRUE Explanation: Minimum Spanning Tree…

Q: 50 2 3 10 Find the shortest path from source node 1 to 10 30 every other node using suitable Graph…

A: This is the shortest path from the source node 1 to every other node by using Dijkstra's algorithm.

Q: The shortest-unweighted-path spanning tree from node A. Please indicate which algorithm you use and…

A: (b) BFS is the algorithm to use if we want to find the shortest path in an undirected, unweighted…

Q: 34. Which of the following statements is/are true? I. II. A. B. Given a rooted tree that includes…

A: The correct solution is given below in the next steps with explanations behind choosing the correct…

Q: (a)Consider the following arithmetic expression: A / (B – C) + E $ (E * M) Draw a binary tree that…

A: As per our guidelines, we are supposed to answer only one question. The answer to the first question…

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: 5. Draw a W, graph and label the vertices. Use a breadth first search starting at the central vertex…

A: W in W7 graph refers to a wheel graph which means is a chart framed by associating a solitary…

Q: Run Kruskal's algorithm on the above graph. (Kruskal's alg. is the greedy approach.) What is the…

A: Prim's Algorithm:1. Initialize:Create a fixed mstSet to keep vertices included within the minimum…

Q: Code: Prim’s MST algorithm. algorithm PrimMST (G) pre-cond: G is an undirected graph. post-cond:…

A: Code: Prim’s MST algorithm. The output consists of a minimum spanning tree.

Q: Data Structures Weighted Graph Applications Demonstration Look at Figure 29.23 which illustrates a…

A: Answer :

Q: В 49 E 10 30 (10 A OG 22 26 4 D 22 F dUse Prims's algorithm to compute the Minimum Spanning Tree…

Q: (K E 12 3. 2. 1 (N 19 (M 1 D Assume each arc in the diagram goes in either direction. The minimum…

A: The Minimum Spanning tree is a subtree that contains all the nodes of a tree and minimizes the…

Q: (d) Given the distances between locations in the following table, determine a minimum spanning tree…

A: - We need to find the MST connecting all the locations.

Q: a) b) L M N Which node is the root node? What is the level of the following nodes: A, B, Z, D, G, L?…

A: The Upper most node in given tree will be the root of the tree. Root of any tree is that node which…

Q: 1. Graph Algorithms Consider the following graph. Unless otherwise indicated, always visit adjacent…

Q: For Items 49-52. Refer to Graph 2 49.Using Prim's Algorithm to find the minimum spanning tree in…

Q: ython Graph Algorithms: Minimum Spanning Trees Note: There are helper functions (see 'required'…

A: Given, Write a program that takes as input the number of locations, the number of roads, and the…

Q: Starting at vertex B, what is the shortest path length to each vertex?

A: Consider the given graph :

Q: ) Using the same diagram in Figure 1, apply Prim's algorithm to find the minimum spanning tree.…

A: Prim’s algorithm: This algorithm works on the basis of the greedy algorithm, it basically begins…

Q: Provide the frequency and the Huffman encoding for each character in the following string: better…

A: Character Frequency b 1 e 4 t 4 r 2 (space) 2 l 1 a 1 n 1 v 1 y 1

Q: c) Form a binary search tree from the numbers given below using natural order (large number on…

A: We have to put the numbers in such a way that on left side of the node smaller number will go and on…

Q: H Suppose you run the topological sort algorithm on the graph above starting at vertex C. Use the…

A: Topological sort is done for the directed acyclic graphs and the order is written in way of their…

Q: For the graph shown below: (25%) a. Draw all the possible spanning trees. (20%) b. Draw the minimum…

A: The solution is given below for the above-given question:

Q: Use Dijkstra's algorithm to construct a shortest path tree starting from vertex____ that includes…

A: Dijkstra's algorithm is an algorithm used to find the shortest path between two nodes in a weighted…

Q: 3. In a B*-tree, there can be at most 4 search-key values in each node. Assume that the height of…

A: B+ tree :It is used to store the large amount of data in the main memory. The size of main memory…

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

12.
Use Prim's algorithm to construct a minimum spanning tree starting with node
a. Indicate the order in which the edges are added.
a
b
2
2
d
g
10
1
e
2
20

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 3 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

21. Assume the graph is represented by two linear arrays corresponding to the end vertices of edges. Write and explain the algorithm to find a spanning tree of the graph with an example.
Weighted Graph Applications Demonstration Java Data Structures. Figure 29.23 illustrates a weighted graph with 6 vertices and 8 weighted edges. Simply provide: Minimal Spanning Tree as an illustration or a textual list of edges (in our standard vertex order). Single-Source Shortest Path route from vertex 0 to the other 5 (described as one path/route for each). draw the two solutions and attach the illustration or describe them in text (a list of edges for the one and the vertex to vertex path the other). You can therefore attach proper content files with dot txt, png, jpg or jpeg extensions Be sure the final trees or path lists are clearly visible in your solution. You don't need to show the solution development or progress, just the result.
2- Write three spanning trees for the following graph 15 d b
O a b 5 U a с 2 Which minimum spanning tree weight is higher than the others? b 1. N 2 5 5 b C
Design a recursive linear-time algorithm that tests whether a binary tree satisfies the search tree order property at every node. Use c++
Find the minimal spanning tree (MST) and its weight for the following graph using Prim's algorithm. The starting node is A Note: Choose the node with the smallest label when you have the possibility to select from several nodes. 2 B 1 2 fig 4 6 D E F 8.8 1 3 5 G H 1) Fill out the blanks below (left-to-right and top-down manner) with the labels of the nodes in the order of inclusion to the MST: U 2
100 4. Consider the following binary tree (which is not a binary search tree): HR a) Give the depth of node Y: b) Give the height of the tree: V types of traversal: c) Traverse the tree and print the keys in each of the nodes. Give the output for each of the following 1) In-order 11) Pre-order 111) Post-order #B N hp 24
1. Write the result of performing in-order traversal on the following binary tree: Index 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Vertices T H F R N M 2. Write the result of performing post-order traversal on the following binary tree: Index 1 2 3 4 6 7 8 9 10 11 12 13 Vertices O R P N M A T H F 3. Write the result of performing pre-order traversal on the following binary tree: Index 0 1 2 3| 4 5 7 8 9 10 11 12 13 14 15 Vertices B А N M L K G F E D 4. Write the result of performing post-order traversal on the following binary tree: Index 1 2 3 4 7 8 9 10 11 12 13 14 15 Vertices N P A B D E F G H K L M
Generate the shortest path tree using the Dijkstra Algorithm using the following format:Shortest path tree for node A1.Permanent list Tentative listempty A(0)2.Permanent list Tentative listA(0) B(5), C(2), D(3)3.Permanent list Tentative listA(0), C(2) B(5), D(3), E(6)4.Permanent list Tentative listA(0), C(2), D(3) B(5), D(3)5.Permanent list Tentative listA(0), C(2), D(3), B(5) D(3)6.Permanent list Tentative listA(0), C(2), D(3), B(5), D(3) empty
13 A 20 10 Perform the Depth First Search starting at vertex J. Perform topological ordering of the nodes on the directed graph (just the discovery edges!). If J's in-counter is 1, what's the in-counter of vertex G? а. 8 O b. 6 O c. 5 O d. 7 е. 3 O f. 4
Draw a minimum spanning tree for the following graph: 2 A В 3 G 7. F 4 H. 2 8 E 1 Draw a binary search tree using the following values in the order given: 12, 17, 4, 11, 19, 15, 6 LO to
(1) When we use adjacency list to represent graph for breadth first traversal, we usually use () to implement the algorithm. A. Stack B. Queue C. Tree D. Graph (2) The breadth first traversal is similar to the () of a binary tree. A. First order traversal B. Middle order traversal C. Last order traversal D. Hierarchical traversal