3) Determine the minimum number oftrees and their weights using the Kruskalalgorithm on the following grapha435IDf1Ce6413.2.

Answered: Image /qna-images/answer/a4e3dcc3-24fb-4ede-8252-6f29eda0b894.jpg

Answered: 3) Determine the minimum number of…

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?
3. Run both Kruskal and Prim's algorithms on the following weighted graph: 12 7 11 10 3 2 4 1 8 For Prim's algorithm, start at the top-left vertex marked in black. What's the weight of your minimum spanning tree? 1
Find the LCM of the following using Euclidean Algorithm. 1. [48,32] 2. [35,50] 3. [75, 325] 4. [252,182] 5. [36, 64, 112] 6. [9a + 8,6a + 5]
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40 is incorrect
please solve & explain
The table gives the weights of a weighted graph G on vertices U, V, W, X, Y, Z. All the edges appear in the table (so for instance VZ is not an edge in the graph). Edge Weight Edge Weight Edge Weight UX 1 UV 3 UW 5 VX 1 YZ 3 XY 6 WY 1 WX 4 XZ 8 VW 2 WZ 5 UZ 9 i. Use Dijkstra's algorithm to find a minimal path from U to Z. ii. We now consider an graph G' whose vertices and edges are the same as G, but which is not a weighted graph. Sketch a planar diagram of G'. iii. Is it possible to add a new edge to G' and maintain planarity? Justify your answer either with a planar diagram or a proof of non-planarity.
3. To defeat Electro, Spider-Man needs to connect all the pylons (vertices) in the graph below with his webbing to form an electric circuit, with the numbers representing the difficulty of making the connection. Show that the Nearest Neighbor algorithm will NOT work for Spidey for this given graph. Try at least two different starting points, one of which should be the top left corner. 3 11 3 12 5 2 9 14 1 8 7 10 9 0 13 16

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3) Determine the minimum number of trees and their weights using the Kruskal algorithm on the following graph a 4 3 5 f E C 6 4 1 F 3. D. 2.