Algorithm

Understanding Parent, Grandparent, and Uncle in Red-Black Trees (With Example)

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Red-Black Trees are powerful self-balancing binary search trees used in many system-level and database applications. When inserting or deleting nodes, specific relationships between nodes—such as parent, grandparent, and uncle—become crucial in maintaining the tree’s balanced structure. In this article, we’ll break down these relationships, explain their significance during tree adjustments, and provide easy-to-understand examples. Whether … Read more

Insertion in Red-Black Tree: All Cases Explained with Algorithm

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Red-Black Tree is a self-balancing binary search tree. When a node is inserted, the structure of the tree may violate some of its coloring properties. Therefore, we need to fix those violations using recoloring and rotations to maintain balance. Let’s explore how insertion works in a Red-Black Tree — step-by-step — including all the violation … Read more

Rotations in Red-Black Tree

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Balancing a binary search tree is crucial to ensuring efficient performance. One of the most powerful self-balancing binary search trees is the Red-Black Tree (RBT), widely used in memory management, language libraries (like C++ STL map and set), and database indexing. But what keeps this tree balanced? The secret lies in rotations – a fundamental … Read more

Red-Black Tree: Definition, Example, Advantages and Disadvantage

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A Red-Black Tree is a type of self-balancing binary search tree where each node has a color — either red or black. It follows specific rules related to these colors to keep the tree balanced after every insertion or deletion. This balance helps in keeping operations like search, insert, and delete efficient, taking only O(log … Read more

Randomized Version of Quick Sort Explanations

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The Randomized Version of the QuickSort algorithm is a variation of the normal QuickSort algorithm. In Randomized QuickSort, the pivot element is selected on a random basis. Whereas in normal quick sort pivot element is selected left most or right most. In Randomized QuickSort, Instead of using the last element A[last] as pivot we can … Read more

Pseudocode of QuickSort with Its analysis

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QuickSort algorithm uses the divide and conquers method to sort an Array. It contains a function that is used to partition (divide the array) using a pivot element. Generally, the pivot element selected is the rightmost element of the array (You can select the leftmost also but some conditions will change). The elements of the … Read more

Pseudocode of Insertion sort with Time Complexity Analysis

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Insertion Sort is a simple sorting algorithm that picks an element from the unsorted position and inserts it into its correct position in the array. This algorithm works by comparing the current element with the elements before it. And shifting them to the right until the correct position is found. Pseudocode of Insertion Sort Explanations … Read more

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