Monday, March 14, 2011

sorted binary tree

Binary sort trees have this useful property: An inorder traversal of the

Binary sort trees have this useful property: An inorder traversal of the

A well-balanced binary tree can drastically reduce the number of look-ups

A well-balanced binary tree can drastically reduce the number of look-ups

Binary Tree. The inorder traversal yields - 8, 4, 9, 2, 5, 1, 6, 3, 7

Binary Tree. The inorder traversal yields - 8, 4, 9, 2, 5, 1, 6, 3, 7

Binary Search Tree - In-order Traversal (Sorted Order)

Binary Search Tree - In-order Traversal (Sorted Order)

 the breadth first traversal of the above sorted-binary tree is:

the breadth first traversal of the above sorted-binary tree is:

A graph of a binary tree from a recursive function call (fibonacci)

A graph of a binary tree from a recursive function call (fibonacci)

Building a Perfect Binary Tree. We claim that buildTree has the optimal time

Building a Perfect Binary Tree. We claim that buildTree has the optimal time

Here for example is a binary sort tree containing items of type String.

Here for example is a binary sort tree containing items of type String.

Figure 4: Binary Tree. Binary Tree. Balanced tree algorithms re-arrange the

Figure 4: Binary Tree. Binary Tree. Balanced tree algorithms re-arrange the

Binary Tree

Binary Tree

We can visualize Merge-sort by means of binary tree where each node of the

We can visualize Merge-sort by means of binary tree where each node of the

Figure-1 -- ordered binary tree

Figure-1 -- ordered binary tree

binary tree

binary tree

sorted binary tree

sorted binary tree

 to an arbitrary tree) of the connected undirected graph G , and $(u,v)

to an arbitrary tree) of the connected undirected graph G , and $(u,v)

Sequence-based Implementation of a Binary Tree

Sequence-based Implementation of a Binary Tree

i) an ordered binary tree (BST) storing numbers from 1 – 5.

i) an ordered binary tree (BST) storing numbers from 1 – 5.

We can represent a simple binary tree visually like this :

We can represent a simple binary tree visually like this :

We see how a Binary Tree gives us sorted data!

We see how a Binary Tree gives us sorted data!

i) an ordered binary tree (BST) storing numbers from 1 – 5.

i) an ordered binary tree (BST) storing numbers from 1 – 5.

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