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Sets and disjoint sets union123

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Ankita Goyal
Ankita Goyal
Education
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Sets And Disjoint Sets Union By: Ankita Goyal
Definition ,[object Object]
Operation we can perform: ,[object Object],[object Object],[object Object]
Possible representations of sets ,[object Object],1 7 8 9 5 2 10 3 4 6
Possible Representations of S1 U S2 1 7 9 8 2 5 10 7 10 2 1 5 9 8 S1 ∪ S2 S1 ∪ S2
Data representation for s1, s2 and s3 1 6 3 5 4 2 10 7 8 9 S1 S2 S3
Array representation of S1, S2 and S3 i [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] p -1 5 -1 3 -1 3 1 1 1 5
Simple algorithms for union and find ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Weighting rule for Union(i,j) ,[object Object]
Trees obtained using the weighted rule ,[object Object],[object Object],1 2 n 3 2 1 5 4 n n 3 2 1 4 n 4 3 2 1 2 n 3 1
Union algorithm with weighting rule ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Thank You

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