Use Dijkstra's algorithm to determine the shortest paths starting from vertex A to all other vertices, then answer the 2 questions shown below the graph. F A 6 7 4 3 G 6 D K 8 9 6 H (Your answer should just be a number) B 4 3 9 E I 2 1) What is the lowest cost path to go from vertex A to vertex L? 5 2 7 J L 2) What is the total cost of the lowest cost path to go from vertex A to vertex L? 10 (Your answer should be a comma separated list of vertices starting with A and ending with L which represents the lowest cost path between the vertices. Example: A, Z, S, Q, L) 1

Use Dijkstra's algorithm to determine the shortest paths starting from vertex A to all other vertices, then answer the 2 questions shown below the graph. F A 6 7 4 3 G 6 D K 8 9 6 H (Your answer should just be a number) B 4 3 9 E I 2 1) What is the lowest cost path to go from vertex A to vertex L? 5 2 7 J L 2) What is the total cost of the lowest cost path to go from vertex A to vertex L? 10 (Your answer should be a comma separated list of vertices starting with A and ending with L which represents the lowest cost path between the vertices. Example: A, Z, S, Q, L) 1

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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Need output for: Distance S=0 & Previous
2. Use the Bellman-Ford algorithm to calculate the shortest paths from node A to every other node in the graph. Write the solution ir le and show every step. 4 7 2 -3 -1 -1 10 4 F 5
There are many applications of Shortest Path Algorithm. Consider the problem of solving a jumbled Rubik's Cube in the fewest number of moves. I claim that this problem can be solved using a Shortest Path Algorithm. Determine whether this statement is TRUE or FALSE. NOTE: if you want to check if this statement is TRUE, think about how the Rubik's Cube Problem can be represented as a graph. What are the vertices? Which pairs of vertices are connected with edges? What is your source vertex and what is your destination vertex? How would Dijkstra's Algorithm enable you to find the optimal sequence of moves to solve a jumbled cube in the fewest number of moves?
Solve if you are Fully sure. Otherwise
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Using the Dijkstra’s Algorithm, determine the shortest path from a to z. Present the solution in a table
5
A weighted graph is given below. Compute the following metrics for this graph. You can use a calculator if necessary. 1) Eccentricity for each vertex; 2) Average length of the shortest paths from each vertex; 3) Count of triangles of each vertex; 4) Count of triples of each vertex; 5) Radius of the graph; 6) Diameter of the graph; 7) Average path length of the graph; 8) Characteristic path length of the graph; 9) Network transitivity of the graph; 10) Network density of the graph.
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Dijkstra Algorithm
Y= 1
Consider navigating the maze shown below. 3. 4. (z) 1. S 2. A 5. N L M G B F H 6. D 7. P 2 8. G 2 4 C E P 2 2 2 A S The maze is represented as a graph with edge costs as shown on the edges. The edge cost is 1 for all edges where the cost is not shown. Let S be the initial state and G be the goal state. List the first 8 vertices expanded by Uniform Cost Search (enter the single letter label of a node). B FL K 2 2 J 2 D H