Fundamentals of Red-Black Trees
Explore the fundamental concepts of red-black trees, including their key properties such as black-height and no-red-edge. Understand how red-black trees simulate 2-4 trees for balanced structure. Learn essential operations like add and remove, along with color manipulations and rotations to maintain tree balance and left-leaning properties.
Red-black trees and 2-4 trees
At first, it might seem surprising that a red-black tree can be efficiently updated to maintain the black-height and no-red-edge properties, and it seems unusual to even consider these as useful properties. However, red-black trees were designed to be an efficient simulation of – trees as binary trees.
Refer to the figure below.
Consider any red-black tree, T, having ...