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

See similar textbooks

Similar questions

I am struggling to draw a spanning tree using a depth-first when the following graph has a vertex A as the root and using alphabetical ordering.
12- A Graph consists of four vertices A, B, C and D. If we start from A, which vertex will be visited first of all by breadth-first search (BFS) algorithm? A C D B
2. Consider the graph G2(V2, E2) below. 2a. Find the MST of this graph with Kruskal’s algorithm. Draw the MST, and show the table [edge] [w(u, v)] [mark]. 2b. Find the MST of this graph with Prim’s algorithm starting at vertex 'a'. Draw the MST and list the vertices in order you added them to the MST. 2c. Would you get a different MST if you repeat 2b starting at vertex 'e'? Why or why not?
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.
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?
Please show step-by-step explanations. Thank you. About the Petersen Graph, (a) The Petersen Graph P is shown below. Assign an edge weight of 1 to each edge of P. Use either Kruskal or Prim’s Algorithm to find a (necessarily minimum weight)spanning-tree of P. you must be clear about whichthe algorithm you choose and show and explain each step leading to the spanning tree.
Consider a weighted graph in which all the weights on the edges are distinct. Suppose that e is the edge with the largest weight. What is the property that the graph must have in order for e to be in the minimum spanning tree? Question options: 1) The graph must be a tree. 2) The edge e must be incident to a vertex of degree 1. 3) The weight of e must be close to the next largest weight. 4) The graph is no longer connected if e is removed.
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
1. For each pair of vertex in no. 3 give the vertex sequence of the longest path connecting them that repeat no edges. Is there a longest path connecting them? 2. How many spanning trees are can be generated from its graph? Define 2 spanning trees of Graph A and B. 3. Which graph has and Euler path? Euler Circuit? (Use Fleury’s Algorithm) For those that don’t give an explanation? 4. Which graph contains Hamiltonian Path? Hamiltonian Circuit? For those that don’t give an explanation?
Use depth-first search starting at vertex SS to construct a spanning tree of the graph below. If we tie-break alphabetically, what is the order of edges we construct our spanning tree? a. {S,T}, {T,X}, {W,X}, {W,Z}, {V,Z}, {X,Y}, {U,Y} b. {S,T}, {S,V}, {V,Z}, {W,Z}, {W,X}, {T,X}, {X,Y}, {U,Y} c. {S,T}, {T,X}, {W,X}, {S,V}, {V,Z}, {Y,Z}, {U,Y} d. {S,T}, {T,X}, {W,X}, {W,Z}, {V,Z}, {Z,Y}, {U,Y}
1.2 Given the above graph, what's the weight of the minimum spanning tree .?
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.