A Simple and Efficient Union-Find-Delete Algorithm - Corelab
A Simple and Efficient Union-Find-Delete Algorithm - Corelab A Simple and Efficient Union-Find-Delete Algorithm - Corelab
• The leftmost leaf in the sub tree of the right sibling of the given node DFS 7 9 1 6 8 0 3 5 0 5 3 8 7 1 6 9
• The predecessor is a parent or a leaf DFS 50 0 3 6 05 3 4 8 8 4 6 5 • If it is a parent we can examine the left sibling of the node DFS 50 0 3 6 05 3 4 8 8 4 6 5
- Page 1 and 2: A Simple and Efficient Union-Find-D
- Page 3 and 4: Union Find Delete data structure Ma
- Page 5 and 6: The classic data structure Represen
- Page 7 and 8: Find climbs from the provided eleme
- Page 9 and 10: To increase the amortized efficienc
- Page 11 and 12: Purpose of this talk: Describe a si
- Page 13 and 14: Delete operation Deleting a leaf no
- Page 15 and 16: Possible Solution Find a leaf, swit
- Page 17 and 18: Possible Solution Find a leaf, swit
- Page 19 and 20: Previous Work • H. Kaplan, N. Sha
- Page 21 and 22: • The solution instead of finding
- Page 23 and 24: • The solution instead of finding
- Page 25: Tree Nodes in DFS Order The predece
- Page 29 and 30: or • Reduced - a single node of r
- Page 31 and 32: Implementing Union One of the trees
- Page 33 and 34: Both trees are of size ≥ 4 : Unio
- Page 35 and 36: Implementing Find • Instead of pa
- Page 37 and 38: Fixing The DFS Order • If node x
- Page 39 and 40: Fixing The DFS Order • If node x
- Page 41 and 42: • If node x is the leftmost child
- Page 43 and 44: Implementing Delete Tree is of size
- Page 45 and 46: Local Rebuild If node y is not the
- Page 47 and 48: Local Rebuild If node y is not the
- Page 49 and 50: If node y is the root and node c is
- Page 51 and 52: Analysis Our asymptotic worst case
- Page 53: E Thank You
• The leftmost leaf in the sub tree of the right<br />
sibling of the given node<br />
DFS<br />
7<br />
9<br />
1<br />
6<br />
8<br />
0<br />
3<br />
5<br />
0<br />
5 3<br />
8<br />
7<br />
1<br />
6<br />
9
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