Red-Black Tree Archives

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

July 18, 2025 by

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

Is the “Uncle Rule” an Official Red-Black Tree Property?

July 18, 2025 by

The uncle in a Red-Black Tree is not explicitly mentioned in the five core Red-Black Tree properties, but it plays a crucial implicit role during insertion fix-up operations. Let’s clarify: 🔸 Red-Black Tree Properties (Standard 5 Rules): 🔸 So, is the Uncle Rule part of the official properties? No. There is no official property that … Read more

Rotations in Red-Black Tree

July 18, 2025 by

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

July 18, 2025July 18, 2025 by

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