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Unformatted text preview: ) 7. Use Kruskal’s algorithm to ²nd all least weight spanning trees for this 4 1 5 3 5 3 4 2 6 weighted graph. 8. Find a minimum cost spanning tree for the graph with this cost matrix. How many such trees are there? A B C D E F G H A 12 14 11 17 8 B 12 9 12 15 10 9 C 9 18 14 31 9 D 14 18 6 23 14 E 11 12 14 15 16 F 15 31 6 15 8 16 G 17 10 23 16 8 22 H 8 9 9 14 16 22 Extra questions 9. Find a minimum weight spanning tree in each of the following weighted graphs: ( i ) 3 4 1 2 6 6 5 7 ( ii ) 7 6 7 9 9 5 6 9 7 8 10. Use the Matrix Tree Theorem to verify the fact that the number of spanning trees of the complete graph K n is equal to the number of labelled trees on n vertices....
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 Spring '09
 Math, Graph Theory, adjacency matrix, Ak ij

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