CSE 326: Data Structures Lecture #11 AVL and Splay Trees

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Table of Contents

CSE 326: Data Structures Lecture #11 AVL and Splay Trees

Today�s Outline

AVL Tree Dictionary Data Structure

Deletion (Hard Case #1)

Single Rotation on Deletion

Deletion (Hard Case #2-4)

Double Rotation on Deletion

Deletion with Propagation: Choose Your Own Adventure!

Propagated Double Rotation

Propagated Single Rotation

You Didn�t Rotate

AVL Deletion Algorithm

AVL buildTree

BuildTree Example

BuildTree Analysis (Approximate)

BuildTree Analysis (Exact)

Thinking About AVL

Splay Trees

Idea

Zig-Zig*

Zig-Zag*

Zig

Splaying Example

Still Splaying 6

Almost There, Stay on Target*

Splay Again

Example Splayed Out

To Do

Coming Up

 Author: Steve Wolfman

Email: owner-cse326@cs.washington.edu

Home Page: http://www.cs.washington.edu/326/

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