Answered: A 3 1 2 2 H 2 3 G F E 2 3. 2. 3. 5.

Engineering

Computer Science

A 3 1 2 2 H 2 3 G F E 2 3. 2. 3. 5.

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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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 a graph with five nodes labeled A, B, C, D, and E. Let's say we have the following edges with their weights: A to B with weight 3 A to C with weight 1 B to C with weight 2 B to D with weight 1 C to E with weight 4 D to E with weight 2 a. Find the shortest path from A to E using Dijkstra's algorithm b. Use Prim to find the MST c. Use Kruskal to find the MST d. What's the difference between Prim and Kruskal algorithms? Do they always have the same result? Why or why not.
Please help me solve this problem
I need an example of a graph where using Floyd's algorithm to find the shortest path doesn't give the right answer because of negative edge weights
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 provide graphs if possible.
Question 4: Find the Shortest Path Tree for the given graph using Dijkstra’s algorithm and writeall the steps. The source is from “Home”
Mention the unique feature of Mongo Database?
Answer the given question with a proper explanation and step-by-step solution. Answer yes or no and Prove or explain precisely why please1. If you can solve TSP in linear time, you can solve the Hamiltonian path problemin linear time.2. If Graph Isomorphism belongs to NPC then P = NP3. The question if a program stops on an input x within n^3 steps or less belongs toNPC.4. The question does a program stops on an input x (namely there is no infiniteloop) belongs to NPC.
Question 2 What is the shortest path between A and Z in the graph below? (The length of a path is the sum of the numbers along the edges on the path.) Explain briefly how you have found this solution: what algorithm or solution strategy did you use? Does it work on any graph? Path (e.g., A-B-E-Z) : A- - Z Explanation : E 1 G 2 2 1 3 A 3 3 2 3 B 4 1 F 2.
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.
Explain the Bellman-Ford Algorithm using the Single Source Shortest Path Algorithm (given a graph with a negative cycle).
Hey, Kruskal's algorithm can return different spanning trees for the input Graph G.Show that for every minimal spanning tree T of G, there is an execution of the algorithm that gives T as a result. How can i do that? Thank you in advance!