Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Transcribed Image Text:2) Determine the minimum tree number
and its weights using Prim's algorithm,
starting from point C in the following graph
A
a
3
B
b
6.
e
2
C
3
D
h
3
5.
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- 1) Using either Prim's or Kruskal's algorithms, determine the cost of the minimum spannin tree which will connect all the vertices of the graph below. State which algorithm you used. 5) Sketch the minimum spanning tree. 5 A F 4 J 2 2 2 4 B 8 G 1 K 13 3 7 C 5 H 4 L 2 2 1 D 7 I 3 1 12 2 E 6 Marrow_forward3. 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? 1arrow_forwardFind the minimum cost spanning tree on the graph above using Kruskal's algorithm. Which of the edges below are included in the minimum cost tree? BD CE DF CF AC BC BF CD EF AF BE AB DE AE AD IMAGE ATTACHEDarrow_forward
- 8 D 6 14 A B Apply the repeated nearest neighbor algorithm to the graph above. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDAarrow_forwardU B BD □AC CE 0 BE AE CD AD ⒸAF OCF 15. AB ODE ODF BC BF EF 10 Find the minimum cost spanning tree on the graph above using Kruskal's algorithm. Which of the edges below are included in the minimum cost tree? ریا T E Darrow_forward40 is incorrectarrow_forward
- Use the high-level version of Prim's algorithm to find a minimum spanning tree for the following graph, showing the actions step-by-step.arrow_forwardC D 21 20 15 B Apply the nearest neighbor algorithm to the graph above starting at vertex A. Give your answer as a list of vertices, starting and ending at vertex A. Example: ABCDAarrow_forwardUse the breadth-first search to find a spanning tree of the graph: K34, starting at a vertex of degree 3arrow_forward
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