For the graph shown below, compute for the total weight of a Hamiltonian cycle using the Edge-Picking Algorithm.AFBEDO 192221202.6.O O O O

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Answered: For the graph shown below, compute for…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a. Given the following algorithm, def Linear Search(a, x): for i in range(0, len(a)): if a[i] == x: return i return -1 What will be the result if a = [1,2,5,3] and x = = 2? b. What will be the result if a = [1,4,2,0] and x = 10?
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s. Use the Greedy and Edge-Picking algorithms to find the Hamiltonian cycle with the least total weight in the complete graph shown below. 33 57 25 72 29 65 75 89 21 50 26 45 34 60 55
B 15 D 12 A Use the Brute-Force Algorithm to find the lowest-cost Hamilton circuit. For the first part, give one best answer as a list of vertices visited starting at A (example: ABCDA), and for the second part give the total cost for this best solution. 1. Give a lowest-cost Hamilton circuit: 2. Give the lowest cost:
AE A B 40 D A E 25122 F C 35 30 B 40 20 £858:8 C 35 30 45 54 60 15 44 29 D 145 54 -- 34 11 E 22 60 15 34 50 F 24215 20 44 29 11 50 The weights of edges in a graph are shown in the table above. Apply the nearest neighbor algorithm to the graph starting at vertex A. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEFA
d. Determine if the graph below is Eulerian and/or Hamiltonian. If the graph is Eulerian establish the trace or traversal starting at vertex D by listing the sequence of the nodes and highlighting in the graph the trace. If the graph is Hamiltonian list the trace starting at vertex D and highlight in the graph the trace. (You need to draw a graph/s here.) E A D F B C
Answer the following as detailed as possible. 3. Use the Greedy and Edge-Picking algorithms to find the Hamiltonian cycle with the least total weight in the complete graph shown below. 33 B. 25 57 72 29 65 75 89 21 50 45 34 55 8/
A B C D E F A D -- B 51 51 36 45 -- с 36 45 D E F 8 14 58 35 16 23 47 52 20 55 53 12 8 35 47 14 16 52 55 58 23 20 53 12 - The weights of edges in a graph are shown in the table above. Apply the nearest neighbor algorithm to the graph starting at vertex A. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDEFA
JA B OC n 14 OE D 11 3 10 Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost? 8 B E
Use the edge-picking algorithm to find the Hamiltonian cycle with the least total weight in the complete graph shown below. 33 B 57 25 72 29 65 75 89 21 50 26 45 34 60 55 F 266 293 278 271 286
Use the Greedy algorithm to find the Hamiltonian cycle with the least total weight in the complete graph shown below. Start from vertex A. 33 B 25 75 72/ 29 C 289 259 Ο 267 Ο 275 Ο 234 Ο Ο Ο Ο Ο 34 E 57 89 55 21 60 65 50 26 45 D

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For the graph shown below, compute for the total veight of a Hamiltonian cycle using the Edge-Picking Algorithm. A B E D O 19 O 2 O 21 O 20 2.