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CS 332: Algorithms Red-Black Trees
Review: Binary Search Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: Binary Search Trees ,[object Object],[object Object],F B H K D A
Review: Inorder Tree Walk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: BST Search ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: BST Search (Iterative) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: BST Insert ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: Sorting With BSTs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: Sorting With BSTs ,[object Object],[object Object],for i=1 to n TreeInsert(A[i]); InorderTreeWalk(root); 3 1 8 2 6 7 5 5 7 1 2 8 6 7 5 2 6 7 5 3 1 8 2 6 5 7
Review: More BST Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: More BST Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],F B H K D A C Example: delete K or H or B
Red-Black Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Red-Black Properties ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Red-Black Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Height of Red-Black Trees ,[object Object],[object Object],[object Object],[object Object]
RB Trees: Proving Height Bound ,[object Object],[object Object],[object Object],[object Object],[object Object]
RB Trees: Proving Height Bound ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RB Trees: Proving Height Bound ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RB Trees: Proving Height Bound ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RB Trees: Worst-Case Time ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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lecture 13

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