Red-Black Tree definition & meaning in DSA Last Updated : 11 Apr, 2023 Summarize Comments Improve Suggest changes Share Like Article Like Report A red-black tree is a self-balancing binary search tree in which each node of the tree has an color, which can either be red or black. Example of Red-Black TreeCharacteristics of Red Black Tree:The root node is always black and each node can be either black or red.Every leaf node of the red-black tree is black.The children of red nodes are black.The number of black nodes will be the same for every simple path from the root to the descendant leaf node.Applications of Red Black Tree:Red-black trees are commonly used to implement ordered data structures like sets and maps.Red Black Trees are used in implementing the graph algorithms such as Prim’s minimum spanning tree algorithm and Dijkstra’s shortest path algorithm.Red-black trees are used in memory allocation algorithms to manage memory blocks efficiently. It is also used in the K-mean clustering algorithm in machine learning for reducing time complexity. To learn more about the applications of the red-black tree, refer to this article. Advantages of Red Black Tree:The mechanism to maintain balance is relatively easy to understand.It performs operations like insertion, deletion, and searching in logarithmic time.It reduces the number of height comparisons and memory accesses needed hence improving performance. To learn more about the applications of the red-black tree, refer to this article. Disadvantages of Red Black Tree:It has a more complicated implementation than standard binary search trees.Insertion and deletion operations may require complex restructuring of the tree.It is not as efficient as hash tables for small data sets. To learn more about the applications of the red-black tree, refer to this article. What else can you read?Insertion in Red-Black TreeDeletion in Red-Black TreeLeft-Leaning Red Black Tree (Insertion)Red Black Tree vs AVL Tree Comment More infoAdvertise with us Next Article Applications, Advantages and Disadvantages of Red-Black Tree Z zaidkhan15 Follow Improve Article Tags : Tree DSA Definitions and Meanings Red Black Tree Practice Tags : Tree Similar Reads Introduction to Red-Black Tree Binary search trees are a fundamental data structure, but their performance can suffer if the tree becomes unbalanced. Red Black Trees are a type of balanced binary search tree that use a set of rules to maintain balance, ensuring logarithmic time complexity for operations like insertion, deletion, 15 min read Red-Black Tree definition & meaning in DSA A red-black tree is a self-balancing binary search tree in which each node of the tree has an color, which can either be red or black. Example of Red-Black TreeCharacteristics of Red Black Tree:The root node is always black and each node can be either black or red.Every leaf node of the red-black tr 2 min read Applications, Advantages and Disadvantages of Red-Black Tree Red-Black Tree is one type of self-balancing tree where each node has one extra bit that is often interpreted as colour of the node. This bit (the colour) is used to ensure that the tree remains balanced. Properties of Red-Black Trees: Red-Black Trees have the accompanying properties: Each hub has a 4 min read Insertion in Red-Black Tree In the previous post, we discussed the introduction to Red-Black Trees. In this post, insertion is discussed. In AVL tree insertion, we used rotation as a tool to do balancing after insertion. In the Red-Black tree, we use two tools to do the balancing. RecoloringRotationRecolouring is the change in 15+ min read C Program for Red Black Tree Insertion Following article is extension of article discussed here.In AVL tree insertion, we used rotation as a tool to do balancing after insertion caused imbalance. In Red-Black tree, we use two tools to do balancing. Recoloring Rotation We try recoloring first, if recoloring doesn't work, then we go for ro 6 min read Deletion in Red-Black Tree Deletion in a red-black tree is a bit more complicated than insertion. When a node is to be deleted, it can either have no children, one child or two children. Here are the steps involved in deleting a node in a red-black tree:If the node to be deleted has no children, simply remove it and update th 15+ min read Red-Black Trees | Top-Down Insertion In Bottom-Up insertion of Red-Black Trees, "simple" Binary Search Tree insertion is used, followed by correction of the RB-Tree Violations on the way back up to the root. This can be done easily with the help of recursion. While in Top-Down Insertion, the corrections are done while traversing down t 15+ min read Left Leaning Red Black Tree (Insertion) Prerequisites : Red - Black Trees.A left leaning Red Black Tree or (LLRB), is a variant of red black tree, which is a lot easier to implement than Red black tree itself and guarantees all the search, delete and insert operations in O(logn) time. Which nodes are RED and Which are Black ? Nodes which 15+ min read Check if a given Binary Tree is height balanced like a Red-Black Tree In a Red-Black Tree, the maximum height of a node is at most twice the minimum height (The four Red-Black tree properties make sure this is always followed). Given a Binary Search Tree, we need to check for following property. For every node, length of the longest leaf to node path has not more than 9 min read What is the difference between Heap and Red-Black Tree? What is Heap? A Heap is a special Tree-based data structure in which the tree is a complete binary tree. There are two types of heap - Min heap and Max heap. To learn more about heap, go through the following article: Introduction to Heap What is a Red-Black Tree?The red-Black tree is a self-balanci 2 min read Like