4. Graph Theory104842530GA43108.2917в1539J[The total weight of the network is 293]Figure 2 models a network of roads. The number on each edge gives the time, in minutes, taken totravel along the corresponding road.(a) Use Dijkstra's algorithm to find the shortest time needed to travel from A to J.State the quickest route.

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Answered: 4. Graph Theory 10 48 4 25 30 G A 43 10…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 2CEXP

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[2B] The given table below shows the 5 different places that you would like to visit on a particular day. The table below shows the estimated distance (in kilometers per hour) it takes you to travel from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Edge-Picking Algorithm. Examples already provided in the photos below. Home Hospital Mall Esplanade Pet Shop Market Home --- 2.00 km/h 4.00 km/h 3.53 km/h 6.00 km/h 20.00 km/h Hospital 2.00 km/h --- 3.53 km/h 3.00 km/h 2.40 km/h 2.61 km/h Mall 4.00 km/h 3.53 km/h --- 30.00 km/h 2.40 km/h 3.33 km/h Esplanade 3.53 km/h 3.00 km/h 30.00 km/h --- 2.22 km/h 3.00 km/h Pet Shop 6.00 km/h 2.40 km/h 2.40 km/h 2.22 km/h --- 8.57 km/h Market 20.00 km/h 2.61 km/h 3.33 km/h 3.00 km/h 8.57 km/h ---
6. ***Picture*** Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost? (there may be more than one answer) A BC D E
Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of the pieces is a rook, which can move from its current square any number of spaces either vertically or horizontally (but not diagonally) in a single turn. Discuss how you could use graphs to show that a rook can get from its current square to any other square on the board in at most two turns. You’re encouraged to utilize relevant graph definitions, problems, and algorithms where appropriate.
Q) Use Dijkstra's algorithm to find the shortest path between Node A to J. Show all the workings at each vertex.
A chicken farmer wishes to provide electric power to each chicken house on his farm by installing buried electrical power lines. The graph below illustrates the locations of the houses and the distances between them in feet. Use Kruskal's algorithm to determine how the farmer should dig channels in order to minimize the amount of digging. Also determine the minimum total length of channels that must be dug.
Solve the shortest path problems shown in the attached picture by hand using the original implementation of Dijkstra's algorithm. Count the number of distance updates, provide the shortest path solution and the hand-drawn trees of shortest paths for (a) and (b).
Discrete Math practice for final tomorrow. Please show ALL steps Use Dijkstra's algorithm to find the shortest path from vertices A to L for this graph
“District mathematics” Find the length of a shortest path between a and z in the given weighted graph by using Dijiksta algorithm.
[2B] (Please type and draw your answers digitally).The given table below (1st picture) shows the 5 different places that you would like to visit on a particular day. The table below shows the estimated distance (in kilometers per hour) it takes you to travel from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Edge-Picking Algorithm. Example (2nd photo) already provided in the photos below.
Given the figure below. Redraw again the figure to determine the shortest path using The Edge – Picking Algorithm/Cheapest Link Method
A major hotel chain is constructing a new resort hotel complex in Greenbranch Springs, WestVirginia. The resort is in a heavily wooded area, and the developers want to preserve as much ofthe natural beauty as possible. To do so, the developers want to connect all the various facilitiesin the complex with a combination walking–riding path that will minimize the amount of pathwaythat will have to be cut through the woods. The following network shows possible connectingpaths and corresponding distances (in yards) between the facilities: Determine the path that will connect all the facilities with the minimum amount of constructionand indicate the total length of the pathway.
Scott and Associates, Inc., is an accounting firm that has three new clients. Project leaders will be assigned to the three clients. Based on the different backgrounds and experiences of the leaders, the various leader–client assignments differ in terms of projected completion times. The possible assignments and the estimated completion times in days are as follows: Requireda. Develop a network representation of this problem.b. Find the optimal solution using the Hungarian method. What is the total time required?

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