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Tree Implementations
Chapter 24
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Contents
The Nodes in a Binary Tree
An Interface for a Node
An Implementation of BinaryNode
An Implementation of the ADT Binary Tree
Creating a Basic Binary Tree
The Method privateSetTree
Accessor and Mutator Methods
Computing the Height and Counting Nodes
Traversals
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Contents
An Implementation of an Expression Tree
General Trees
A Node for a General Tree
Using a Binary Tree to Represent a General Tree
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Objectives
Describe necessary operations on node within binary tree
Implement class of nodes for binary tree
Implement class of binary trees
Implement an expression tree by extending class of binary trees
Describe necessary operations on a node within general tree
Use binary tree to represent general tree
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5. Figure 24-1 A node in a binary tree
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6. An Interface for a Node Note code for node interface, Listing 24-1
An implementation of BinaryNode, Listing 24-2
Creating a basic binary tree
First draft of the class, Listing 24-3
Note: Code listing files
must be in same folder
as PowerPoint files
for links to work
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7. Figure 24-2 The binary tree treeA shares nodes with treeB and treeC
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8. Figure 24-3 treeA has identical subtrees
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9. Traversing Recursively
Inorder traversal
Public method for user, calls private method
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Figure 24-4 A binary tree
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11. Traversals with An Iterator
Iterator traversal provides more flexibility
Class BinaryTree must implement methods in interface TreeIteratorInterface
Possible to use a stack to do inorder traversal
Note example, Listing 24-A
Private class InorderIterator, Listing 24-4
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Figure 24-5 Using a stack to perform an inorder traversal of a binary tree
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13. Figure 24-6 Using a stack to traverse a binary tree in (a) preorder;
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14. Figure 24-6 Using a stack to traverse a binary tree in (b) postorder;
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15. Figure 24-7 Using a queue to traverse a binary tree in level orderX X
c d
c d e c
Figure 24-7 Using a queue to traverse a binary tree in level order
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16. Implementation of an Expression Tree
Note interface, Listing 24-5
Derive from BinaryTree, Listing 24-6
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17. Node for a General Tree Figure 24-8 A node for a general tree
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Node for a General Tree
Interface, Listing 24-7
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19. Using a Binary Tree to Represent a General Tree
Figure 24-9 (a) A general tree; (b) an equivalent binary tree;
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20. Figure 24-9 (c) a more conventional view of the same binary tree
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End
Chapter 24
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