namastey-avl-tree

namastey-avl-tree

Brief Description

namastey-avl-tree is a JavaScript package that implements the AVL Tree data structure. AVL Trees are self-balancing binary search trees that ensure the height difference between the left and right subtrees (balance factor) is no more than one, which guarantees O(log n) time complexity for insertions, deletions, and lookups.

Features

• insertValue(value): Inserts a value into the AVL Tree, maintaining the balance of the tree.
• searchValue(value): Searches for a value in the AVL Tree and returns the node if found, or null if not found.
• inOrder(node): Performs an in-order traversal of the tree, printing the values in ascending order.
• getHeight(node): Returns the height of a given node.
• getBalanceFactor(node): Returns the balance factor of a given node.
• rightRotate(node): Performs a right rotation on the subtree rooted with the given node.
• leftRotate(node): Performs a left rotation on the subtree rooted with the given node.

Installation

To install the namastey-avl-tree package globally, run:

npm install -g namastey-avl-tree

Examples

Inserting Values

const AVLTree = require('namastey-avl-tree');
const tree = new AVLTree();

tree.insertValue(10);
tree.insertValue(20);
tree.insertValue(5);
tree.insertValue(6);
tree.insertValue(15);

tree.inOrder(tree.root); // Output: 5, 6, 10, 15, 20

Searching for a Value

const result = tree.searchValue(15);
console.log(result ? 'Found' : 'Not Found'); // Output: Found

Tree Balancing Example

tree.insertValue(25);
tree.insertValue(30);
tree.inOrder(tree.root); // Output: 5, 6, 10, 15, 20, 25, 30