Last Minute Lecture

Red-Black Trees — Properties, Rotations, Insertion, and Deletion Explained | Chapter 13 of Intro to Algorithms Red-black trees are a class of self-balancing binary search trees that ensure fast operations for dynamic sets and dictionaries. By enforcing a series of color-based structural properties and local tree transformations, red-black trees guarantee O(log n) running time for SEARCH, INSERT, DELETE, and related queries. Chapter 13 of introduction to algorithms provides a comprehensive look at the mechanics, cases, and practical applications of red-black trees—an essential data structure in modern programming. For a concise video summary and step-by-step walkthrough of red-black trees, watch below—and subscribe to Last Minute Lecture for more clear algorithm guides. What Is a Red-Black Tree? A red-black tree is a binary search tree (BST) that maintains strict balancing through five color-based properties: Each node is either red or black . The root is alway...

Binary Search Trees — Search, Insert, Delete, and Traversals Demystified | Chapter 12 of Intro to Algorithms Binary search trees (BSTs) are a fundamental building block for dynamic sets, dictionaries, and efficient search algorithms in computer science. Chapter 12 of introduction to algorithms delivers a deep dive into the structure, operations, and efficiency of BSTs, revealing why they remain core to both academic theory and practical software design. For a guided walkthrough, watch the podcast summary below—and subscribe to Last Minute Lecture for clear, chapter-by-chapter breakdowns of introduction to algorithms . What Is a Binary Search Tree? A binary search tree is a hierarchical data structure in which each node contains a key , optional satellite data, and pointers to its left child, right child, and parent. The defining binary-search-tree property states: All keys in a node’s left subtree are less than or equal to the node’s key. All keys in the right s...