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Fundamentals of Red-Black Trees

Explore the fundamentals of red-black trees, including their structural properties, relationship to 2-4 trees, and how to maintain balance through add and remove operations. Learn key subroutines like pushBlack, pullBlack, and rotations to efficiently manage tree color and structure.

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 2244 trees as binary trees.

Refer to the below figure.

Consider any red-black tree, TT, having ...