3. Draw an undirected weighted graph with at least 10 vertices. Edge weights must bedifferent. Perform Dijkstra's algorithm from two different points and show all stepsduring the solution.

Answered: Image /qna-images/answer/1bca278f-b3c2-4632-9581-5677ee3c7194.jpg

Answered: Draw an undirected weighted graph with…

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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Explain the step by step procedure of Dijktra’s algorithm to find the shortest path between any two vertices?
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Given a graph G = (V,E) find the minimum number of edges that will cover every vertex (Edge Cover). Detail and analyze an approximate algorithm to this problem.
A school consists of 6 separate buildings, represented by the vertices in the graph. There are paths between some of the buildings as shown. The graph also shows the length in feet of each path. School administrators want to cover some of these paths with roofs so that students will be able to walk between buildings without getting wet when it rains. To minimize cost, they must select paths to be covered such that the total length to be covered is as small as possible. Use Kruskal's algorithm to determine which paths to cover. Also determine the total length of pathways to be covered. OA. Click here to view figure c. OC. Click here to view figure b. A The total length of pathways to be covered is (Type a whole number.) 45 B Find a minimum spanning tree. Choose the correct answer below. 51 34 19 39 25 E 31 29 30 25 F41 (... D 35 O B. Click here to view figure d. O D. Click here to view figure a.
6.) Determine the fewest number of different colors needed to color this graph so that every node is colored differently from its neighbors.
Suppose five players are competing in a tennis tournament. Each player needs to play every other player in a match (but not more than once). Each player will participate in no more than one match per day, and two matches can occur at the same time when possible. How many days will be required for the tournament? Represent the tournament as a graph, in which each vertex corresponds to a player and an edge joins two vertices if the corresponding players will compete against each other in a match. Next, color the edges, where each different color corresponds to a different day of the tournament. Because one player will not be in more than one match per day, no two edges of the same color can meet at the same vertex. If we can find an edge coloring of the graph that uses the fewest number of colors possible, it will correspond to the fewest number of days required for the tournament. Sketch a graph that represents the tournament, find an edge coloring using the fewest number of…
Please solve a,b and c given in the image provided.
Apply Dijkstra's Algorithm to find the shortest path from a to z in the following graph.
Find the shortest path in the graph from g to a using Dijkstra's Algorithm in graph H. The table below has 3 blanks using Dijkstra's Algorithm. What belongs in the three blanks? e b 6 2 3 d. g a 2 4 6 4 Vertex Status Shortest Dist. from g Previous Vertex 11 +4 = 15, 12 + 1= 13 c, b a visited 9+3 = 12 e, d visited 6 + 5 = 11 f visited 7+2 = 9 f. e e visited 7 visited visited The shortest path is (g, e, d, b, a) = 13 6, 6 + 4 = 10, 7+ 6 = 13 7,6+ 4 = 10, 9 + 3 = 12 6, 6 + 5 = 11, 7 + 6 = 13 O d 6, 6 + 4 = 10, 7+5 = 12 OOO0
What is the least possible number of edges in a graph with 7 vertices in which every edge is in at least two cycles? Draw an example of such a graph with this number of edges.
please do not provide solution in image format than you
27. A new community of houses are being build and need access to the electric grid by subterranean channels. The graph below illustrates the location of the houses and the distances between them in feet. Use Kruskal's algorithm to determine how the electric company should dig channels in order to minimize the amount of digging. Also determine the minimum total length that must be dug. 53 88 150 137 50 128 110 92 118 149 115 55 105 131 46

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Draw an undirected weighted graph with at least 10 vertices. Edge weights must be different. Perform Dijkstra's algorithm from two different points and show all steps during the solution.