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Consider MST-Kruskal algorithm: MST-KRUSKAL(G, w) A = 0; for each vertex v in G, V MAKE-SET(v) //sort the edges of G: E into nondecreasing order
Consider MST-Kruskal algorithm: MST-KRUSKAL(G, w)
A = 0; for each vertex v in G, V
MAKE-SET(v)
//sort the edges of G:E into nondecreasing order by weight w for each edge (u,v) in G,E //taken in nondecreasing order by weight
if FIND-SET(u) does not equal FIND-SET(v)
A = A U {(u,v)}
Union(u,v)
return A
1. What is the exact # of times Union is called?
2. If MST-Kruskal is run without sorting the edges, what will it find?
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