Blog

Introduction The splay tree was introduced by Daniel Sleator and Robert Tarjan in 1985. Splay trees perform a splay operation, which is a combination of rotations and reorganizations, to move the accessed element to the root.  Definition A splay tree is a self-adjusting binary search tree data structure that provides efficient/optimized access to recently accessed elements along with insertion, and deletion operations. It automatically adjusts its structure during these operations to improve the performance of …

Introduction of Red-Black Tree The red-Black tree is advanced and is a modified form of the Binary Search Tree. Definition A red-black tree is a self-balancing binary search tree that maintains balanced properties through the use of color annotations on its nodes i.e. every node is colored with either red or black. Characteristics It ensures that the tree remains approximately balanced, guaranteeing efficient search, insertion, and deletion operations. When inserting or deleting a node in …

Introduction of AVL Tree The AVL tree is named after its two Soviet Union inventors, Georgy Adelson-Velsky and Evgenii Landis, who published it in their paper “An algorithm for the organization of information” in 1962. The AVL tree is also called a Self-balancing BST. Definition An AVL Tree is a special type of Binary Search Tree (BST) that keeps itself balanced at all times. An AVL tree is an automatic self-balancing binary search tree in which each node maintains extra …

Introduction of Binary Search Tree They are also called Ordered Binary Trees, as each node in a BST is placed according to a specific order. Definition A binary search tree is a non-linear, non-cyclic data structure and is an extension/type of binary tree that may be empty or have at most two children at each node. A binary search tree is either empty or it contains a root node together with two binary search trees …

Introduction Binary Tree is considered as the mother tree because most of the trees are derived from this tree. Definition A binary tree is a type of tree in which no node can have more than two children is called a binary tree. A tree is a finite set of nodes storing elements such that the nodes have a parent-child relationship that satisfies the binary tree properties. A binary tree is a finite set of nodes that …