Topic 10 Trees.

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Presentation transcript:

Topic 10 Trees

Tree Definitions

Tree Definitions

Tree Definitions

Binary Search Tree

Traversal Operations tree

Announcements Participation 4 is up Homework 3 grading

Search

Insertion

Deletion Need Min/max Successor/predecessor

Pseudocode

Pseudocode

AVL

Height of AVL Tree

Proof

Insertion

Example

Single Right

Left-Right

Four cases

Deletions

Example

Splay Trees

Amortized Running Time Runtime:

Basic Operations

When to Splay

Zig

Zig-Zag

Zig-zig

Example

Deletion

Optimal BST

Notation

Example