1. Use Prim's algorithm and Kruskaľ's algorithm to find the minimum spanning tree (MST) for the graph, where the numbers on the edges are the weights. Calculate the total weight of the MST and explicitly show the MST (you can either directly plot on the graph using another color or plot a new graph in your solution). For Prim's algorithm, start from node 1 and write the search order of the nodes and edges. For example, the search order of nodes could be: 1→ 2 → 3 → 4 → 5→6 →7→8→9→ 10 with corresponding edges: (1,2) → (2,3) → (3,4) → (4,5) → (5,6) → (6,7) → (7,8) → (8,9) → (9,10). For Kruskaľ's algorithm, write the search order of the edges. 12 11 10 3 5 15 3 20 13 8. 14 |10 8. 5
1. Use Prim's algorithm and Kruskaľ's algorithm to find the minimum spanning tree (MST) for the graph, where the numbers on the edges are the weights. Calculate the total weight of the MST and explicitly show the MST (you can either directly plot on the graph using another color or plot a new graph in your solution). For Prim's algorithm, start from node 1 and write the search order of the nodes and edges. For example, the search order of nodes could be: 1→ 2 → 3 → 4 → 5→6 →7→8→9→ 10 with corresponding edges: (1,2) → (2,3) → (3,4) → (4,5) → (5,6) → (6,7) → (7,8) → (8,9) → (9,10). For Kruskaľ's algorithm, write the search order of the edges. 12 11 10 3 5 15 3 20 13 8. 14 |10 8. 5
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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Transcribed Image Text:1. Use Prim's algorithm and Kruskal's algorithm to find the minimum spanning tree (MST) for the graph,
where the numbers on the edges are the weights. Calculate the total weight of the MST and explicitly
show the MST (you can either directly plot on the graph using another color or plot a new graph in your
solution). For Prim's algorithm, start from node 1 and write the search order of the nodes and edges. For
example, the search order of nodes could be: 1> 2 > 3 → 4 → 5→ 6→7→8→9→ 10 with
corresponding edges: (1,2) → (2,3) → (3,4) → (4,5) → (5,6) → (6,7) →> (7,8) → (8,9) → (9,10). For
Kruskaľ's algorithm, write the search order of the edges.
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12
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11
3
15
20
13
8
4
14
|10
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8
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5
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