Q1 Q2 a. b. How many spanning trees does the following graph have? C X Consider the following graph and answer the corresponding questions 142 171 B D 92 250 140 261 134 81 163 63 E Provide the MST generated using Prim's algorithm showing how the order of which edges were added in step by step Provide the MST generated using Kruskal's algorithm showing the order with which edges were added in

Q1 Q2 a. b. How many spanning trees does the following graph have? C X Consider the following graph and answer the corresponding questions 142 171 B D 92 250 140 261 134 81 163 63 E Provide the MST generated using Prim's algorithm showing how the order of which edges were added in step by step Provide the MST generated using Kruskal's algorithm showing the order with which edges were added in

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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A. Use Prim’s algorithm starting at node A to compute the Minimum Spanning Tree (MST) of the following graph. In particular, write down the edges of the MST in the order in which Prim’s algorithm adds them to the MST. Use the format (node1; node2) to denote an edge B. For the same graph as above, write down the edges of the MST in the order in which Kruskal’s algorithm adds them to the MST. NB: Graph in image
Run BFS algorithm on the following graph starting with vertex s. Whenever there is a choice of vertices, choose the one that is alphabetically first. What is the order that the vertices are visited? What is the shortest path from vertex s to vertex b?
Given the following graph:Type the weight of each edge in the order in which they will be selected when using Kruskal's algorithm to create a minimum spanning tree. Be sure to separate the weights using a single space. Do not separate them with commas or any other characters.
lines (93 sloc) 3.18 KB Raw Blame Given an undirected, connected and weighted graph G(V, E) with V number of vertices (which are numbered from 0 to V-1) and E number of edges. Find and print the Minimum Spanning Tree (MST) using Kruskal's algorithm. For printing MST follow the steps - 1. In one line, print an edge which is part of MST in the format - v1 v2 w where, v1 and v2 are the vertices of the edge which is included in MST and whose weight is w. And v1 <= v2 i.e. print the smaller vertex first while printing an edge. 2. Print V-1 edges in above format in different lines. Note : Order of different edges doesn't matter. Input Format : Line 1: Two Integers V and E (separated by space) Next E lines : Three integers ei, ej and wi, denoting that there exists an edge between vertex ei and vertex ej with weight wi (separated by space) Output Format : Print the MST, as described in the task. Constraints : 2 <=…
1. Consider the weighted, directed graph containing the following vertices and edges.(Weights are in the parentheses.)Vertices: {A, B, C, D} Edges: {AB(5), BC(3), CA(4), AD(2), DA(4), CB(3)}a. Starting at vertex C, determine the shortest path tree using Dijkstrab. If you were to apply Floyd-Warshall’s algorithm to this tree, would it include the shortest path tree you found using Dijkstra? Why or why not?c. Starting at vertex C, determine the minimum spanning tree using Prim.d. Would Kruskal’s algorithm always result in the same MST as Prim’s? Why or why not?
Consider the following graph. Start from vertex x, use the Depth First Search (DFS) algorithm (described in the textbook) to compute the DFS tree(s). Show intermediate results similar to the textbook example and show the final DFS tree(s). It is assumed that in the adjacency list representation, all vertices are stored according to their alphabetical order. In other words, a vertex’s neighbors should be explored by their relative alphabetical order.
A mathematician applies Prim’s Algorithm to find a minimum spanning tree for the weighted graph starting at vertex D. The order of the edges picked so far is AD, AB, BE, and EF. The next edge selected when applying Prim’s Algorithm should be BF FG CG CE What is the total weight of the tree that uses the edges DE, CE, CG, FG and BF? 93 92 91 90 The tree described in problem #8 is a spanning True False
Please consider the following undirected graph: 1. How Many Spanning Tree are possible for this graph?2. Please use the Prim-Jarnik Algorithm to write down the order in which the vertices arevisited and find MST.3. Apply Kruskal’s algorithm to find the MST of the above graph
This is an MCQ give proper explanation don't copy from google Graph Algorithm Think of a undirected graph in which node A is connected to four other nodes, say, B, C, D and E, via an edge of weight 2. Which of the following statements is definitely false? 1) The shortest path from node C to node D is 30. 2) The shortest path from node C to node D is 2. 3) The shortest path from node C to node D is 4.
Note: Solve the following question and please don't repost previous answers and don't give a computer generated answer. Problem: Draw a simple, connected, directed, weighted graph with 9 vertices and 17 edges, each with unique edge weights. Identify one vertex as a “start” vertex and illustrate a running of Dijkstra’s algorithm on this graph.
a) Illustrate the sequence of vertices of this graph visited using depth-first search traversal starting at vertex g. b) Illustrate adjacency list representation and adjacency matrix representation, respectively, for this graph. What are the advantages and disadvantages of those two representations? c) Describe an algorithm to find in the graph a path illustrated below that goes through every edge exactly once in each direction.
Let G be a directed acyclic graph. You would like to know if graph G contains directed path that goes through every vertex exactly once. Give an algorithm that tests this property. Provide justification of the correctness and analyze running time complexity of your algorithm. Your algorithm must have a running time in O(|V | + |E|). Detailed pseudocode is required.