Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the following graph G. The numbers next to each edge denote the cost of the edge. 6 10 11 8 7 1 4. 13 9. 5. 4 14 (a) Use Kruskal's algorithm to find a minimum spanning tree T of G. (You can list all of the edges in a reasonable order and just indicate which are included in T and why.) (b) You probably found that the edge {1,7} was included in your MST from Part (a). How large can the cost of this edge be and still have this edge in a minimum spanning tree?
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Transcribed Image Text:Consider the following graph G. The numbers next to each edge denote the cost of the edge. 6 10 11 8 7 1 4. 13 9. 5. 4 14 (a) Use Kruskal's algorithm to find a minimum spanning tree T of G. (You can list all of the edges in a reasonable order and just indicate which are included in T and why.) (b) You probably found that the edge {1,7} was included in your MST from Part (a). How large can the cost of this edge be and still have this edge in a minimum spanning tree?
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