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Lecture 16: Tree Traversal

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Introduction

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**Tree Traversals abejknopfcdglmhi jenkopbfaclgmdhi jhopkefbclmghida**

PREORDER INORDER POSTORDER

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**Tree Traversal Algorithms**

Ordered tree traversals are based on the depth-first graph traversal. The structure of all depth-first tree traversals are the same. The diffence is in when each node is evaluated. function traverse(node: X) { for (all child nodes Y) traverse(Y) }

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**Permutation Tree for Four Elements**

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**Simple Maze Solving as Tree Traversal**

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**List Representation of a Binary Tree**

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**Edge List Representations of a Tree**

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**Dynamic Memory Representations of a Tree**

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**A General Tree in Dynamic Memory**

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Data-Tag-Next

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**Example: Breadth-First Traversal**

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**Breadth-First Traversal of a Tree**

sample Ada Code

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**Depth-First Traversal - Binary Dreet**

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**Depth-First Traversal of a Tree**

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**Implementing Depth-First Traversals**

PREORDER INORDER POSTORDER

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Watching the Stack

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**Summary DFT Tree Traversals Pre-order In-order Post-order**

Permutation Trees Simple Maze as a Tree List Representation of a Binary Tree Edge List Representation of a Tree Trees in Dynamic Memory Data-Tag-Next: a general tree node Breadth-First Traversals Usually on Permutation Trees Iterative with a Queue Depth-First Traverals Used mostly for search and sort Recursive with a Stack

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1 Trees 5 37 128. 2 General Trees Nonrecursive definition: a tree consists of a set of nodes and a set of directed edges that connect pairs of nodes.

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