7. Use Kruskal's algorithm to find a minimal spanning tree for the following graph. B A 12 19 3 C 29 23 28 13 21 25 24 E 16 6 22 22 D 5 FL
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- Draw a tree with 14 vertices Draw a directed acyclic graph with 6 vertices and 14 edges Suppose that your computer only has enough memory to store 40000 entries. Which best graph data structure(s) – you can choose more than 1 -- should you use to store a simple undirected graph with 200 vertices, 19900 edges, and the existence of edge(u,v) is frequently asked? - Adjacency Matrix - Adjacency List - Edge ListUse Kruskal's algorithm to find a minimum spanning tree of the weighted graph shown. What is the weight of a minimum spanning tree? Draw a minimal spanning tree. 14. 135 210 120 40 22 29 35 36 25 22 57 37 35 68 47 36 94 86 63 47 10 37 64Create spanning trees from the given graph 8 1 3 4 2 \4 11 8 14 4 6 10 7 6
- 50 D A 40 100 20 30 50 160 C 300 150 400 B F H 150 220 250 500 G 200 Figure 3: A weighted undirected Graph for Question 9 and 10 10. For the graph as shown in Figure 3, find the minimum spanning tree based on Kruskal's Algorithm. Show the detailed steps of your calculation.Kruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from edgeList that belong to the minimum spanning tree. edgeList result List AD BC BE CF EF DG EG EH GH D 7 9 G 1 B 5 3 A E H 4 2 6 8 Fb. Find the shortest paths or the minimum weight paths from the source vertex (Vertex A) to every other vertex using Dijkstra's algorithm on the following graph. Show all the diagrams that could lead you to your answer. 00 5 1 00 E Initial 3 00
- 3. From the graph above determine the vertex sequence of the shortest path connecting the following pairs of vertex and give each length: a. V & W b. U & Y c. U & X d. S & V e. S & Z 4. For each pair of vertex in no. 3 give the vertex sequence of the longest path connecting them that repeat no edges. Is there a longest path connecting them?Run Dijkstra's algorithm on the following graph, starting from vertex A. Whenever there are multiple choices of vertex at the same time, choose the one that is alphabetically first. You are expected to show how you initialize the graph, how you picked a vertex and update the d values at the each, and what is final shortest distance of each vertex from A. B 11 A F E1. Use the Dijkstra's Graph to find the shortest path from s to v4 .Calculate the values at each vertex. S 4 2 v1 6 2 3 ୯ v2 4 v3 35 v7 VN v6 v5 10 2 3 v4
- Apply Kruskal's algorithm to find a minimum spanning tree of the following graph. You need to do it step by step. Answer: here a 5 b () 3 1 d 4 C 2 6 e1. Dijkstra's algorithm - Find the shortest distance from Vertex 1 to 10 in the graph using Dijkstra's algorithm. 1 4 5 2 8 3 12 9 5 10 6 6 5 10 -11- 3 5 8 15 9 14 8 10Graphs Find the minimum spanning tree of the graph, starting from node 0 13 42 20 28/weift 30 16 15 12 8