Course Solutions Uncategorized (Solved) : 5 6 Pts Suppose Change Representation Edges Adjacency Lists Matrices Kruskal S Algorithm A Q33064294 . . . .

(Solved) : 5 6 Pts Suppose Change Representation Edges Adjacency Lists Matrices Kruskal S Algorithm A Q33064294 . . . .

 

5. (6 pts) Suppose we change the representation of edges from adjacency lists to matrices in Kruskals Algorithm. Assume that vertices are represented as integers [1.IVI and that G is an adjacency matrix. MST-KRUSKAL(G,) 2 for each vertex v e G.V 3MAKE-SET(v) 4 sort the edges of G.E into nondecreasing order by weight w 5 for each edge (u, v) &G.Etaken in nondecreasing order by weight 6 İf FIND-SET(u)メFIND-SET(v) A = A U {(u, v)} UNION(u, 9 return A a. What line(s) would have to change in the CLRS version of Kruskals algorithm, and how? (No need to write the code; just explain the changes required for the matrix representation.) b. What would be the resulting asymptotic runtime of Kruskals algorithm on both dense (E O(V) and sparse (EO(V)) graphs, and why?

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